Explanation Given: The given matrix is, [ 1 3 3 0 0 2 0 1 − 1 0 0 2 1 6 4 1 ] . Formula used: Cofactor A i j of element a i j is, A i j = ( − 1 ) i + j M i j (1) Where, M i j is the minor for element a i j . a i j is the element corresponding to i t h row and j t h column. If A is a matrix of order 4 × 4 , then determinant of matrix A is obtained by multiplication of every element of first row by corresponding cofactor and then adding all the products. | A | = | a 11 a 12 a 13 a 14 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 a 41 a 42 a 43 a 44 | | A | = a 11 A 11 + a 12 A 12 + a 13 A 13 + a 14 A 14 (2) Calculation: Let matrix A is [ 1 3 3 0 0 2 0 1 − 1 0 0 2 1 6 4 1 ] . The value of minor M i j is equal to the value of the determinant of the matrix obtained by deleting the i th row and j th column. Delete 1 st row and 1 st column, obtain the matrix and calculate the determinant. M 11 = | 2 0 1 0 0 2 6 4 1 | = 2 | 0 2 4 1 | − 0 | 0 2 6 1 | + | 0 0 6 4 | Solve it further. M 11 = 2 [ ( 0 × 1 ) − ( 2 × 4 ) ] − 0 [ ( 0 × 1 ) − ( 2 × 6 ) ] + [ ( 0 × 4 ) − ( 0 × 6 ) ] = 2 [ 0 − 8 ] − 0 + [ 0 − 0 ] = 2 × ( − 8 ) = − 16 Delete 1 st row and 2 nd column, obtain the matrix and calculate the determinant. M 12 = | 0 0 1 − 1 0 2 1 4 1 | = 0 × | 0 2 4 1 | − 0 | − 1 2 1 1 | + | − 1 0 1 4 | Solve it further. M 12 = 0 [ ( 0 × 1 ) − ( 2 × 4 ) ] − 0 [ ( − 1 × 1 ) − ( 2 × 1 ) ] + [ ( − 1 × 4 ) − ( 0 × 1 ) ] = 0 + [ − 4 − 0 ] = − 4 Delete 1 st row and 3 rd column, obtain the matrix and calculate the determinant. M 13 = | 0 2 1 − 1 0 2 1 6 1 | = 0 × | 0 2 6 1 | − 2 | − 1 2 1 1 | + | − 1 0 1 6 | Solve it further

Precalculus: Mathematics for Calculus (Standalone Book)

7th Edition

ISBN: 9781305071759

Author: James Stewart, Lothar Redlin, Saleem Watson

Publisher: Brooks Cole

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Chapter 10.6, Problem 27E

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To find: The determinant of the given matrix and check whether inverse exists or not.

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Chapter 10.6, Problem 26E

Chapter 10.6, Problem 28E

Chapter 10 Solutions

Precalculus: Mathematics for Calculus (Standalone Book)

Ch. 10.1 - The system of equations {2x+3y=75xy=9 is a system...Ch. 10.1 - Prob. 2E Ch. 10.1 - A system of two linear equations in two variables...Ch. 10.1 - The following is a system of two linear equations...Ch. 10.1 - SKILLS Substitution Method Use the substitution...Ch. 10.1 - Prob. 6E Ch. 10.1 - SKILLS Substitution Method Use the substitution...Ch. 10.1 - Prob. 8E Ch. 10.1 - Elimination Method Use the elimination method to...Ch. 10.1 - Prob. 10E

Ch. 10.1 - Prob. 11E Ch. 10.1 - Prob. 12E Ch. 10.1 - Prob. 13E Ch. 10.1 - Prob. 14E Ch. 10.1 - Prob. 15E Ch. 10.1 - Prob. 16E Ch. 10.1 - Number of Solutions Determined Graphically Graph...Ch. 10.1 - Prob. 18E Ch. 10.1 - Prob. 19E Ch. 10.1 - Prob. 20E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 22E Ch. 10.1 - Prob. 23E Ch. 10.1 - Prob. 24E Ch. 10.1 - Prob. 25E Ch. 10.1 - Prob. 26E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 29E Ch. 10.1 - Prob. 30E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 32E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 34E Ch. 10.1 - Prob. 35E Ch. 10.1 - Prob. 36E Ch. 10.1 - Prob. 37E Ch. 10.1 - Prob. 38E Ch. 10.1 - Prob. 39E Ch. 10.1 - Prob. 40E Ch. 10.1 - Prob. 41E Ch. 10.1 - Prob. 42E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 44E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 46E Ch. 10.1 - Prob. 47E Ch. 10.1 - Prob. 48E Ch. 10.1 - Solving a System of Equations Solve the system, or...Ch. 10.1 - Prob. 50E Ch. 10.1 - Prob. 51E Ch. 10.1 - Prob. 52E Ch. 10.1 - Prob. 53E Ch. 10.1 - Prob. 54E Ch. 10.1 - Prob. 55E Ch. 10.1 - Prob. 56E Ch. 10.1 - Prob. 57E Ch. 10.1 - Prob. 58E Ch. 10.1 - Prob. 59E Ch. 10.1 - Prob. 60E Ch. 10.1 - Value of Coins A man has 14 coins in his pocket,...Ch. 10.1 - Admission Fees The admission fee at an amusement...Ch. 10.1 - Gas Station A gas station sells regular gas for...Ch. 10.1 - Fruit Stand A fruit stand sells two varieties of...Ch. 10.1 - Airplane Speed A man flies a small airplane from...Ch. 10.1 - Boat Speed A boat on a river travels downstream...Ch. 10.1 - Nutrition A researcher performs an experiment to...Ch. 10.1 - Coffee Blends A customer in a coffee shop...Ch. 10.1 - Mixture Problem A chemist has two large containers...Ch. 10.1 - Mixture Problem A biologist has two brine...Ch. 10.1 - Investments A woman invests a total of 20,000 in...Ch. 10.1 - Investments A man invests his savings in two...Ch. 10.1 - Prob. 73E Ch. 10.1 - Prob. 74E Ch. 10.1 - Prob. 75E Ch. 10.1 - Area of a Triangle Find the area of the triangle...Ch. 10.1 - Prob. 77E Ch. 10.2 - These exercises refer to the following system:...Ch. 10.2 - Prob. 2E Ch. 10.2 - Prob. 3E Ch. 10.2 - Is the System of Equations Linear? State whether...Ch. 10.2 - Prob. 5E Ch. 10.2 - Prob. 6E Ch. 10.2 - Prob. 7E Ch. 10.2 - Prob. 8E Ch. 10.2 - Prob. 9E Ch. 10.2 - Prob. 10E Ch. 10.2 - Triangular Systems Use back-substitution to solve...Ch. 10.2 - Prob. 12E Ch. 10.2 - Prob. 13E Ch. 10.2 - Prob. 14E Ch. 10.2 - Prob. 15E Ch. 10.2 - Prob. 16E Ch. 10.2 - Prob. 17E Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Prob. 20E Ch. 10.2 - Prob. 21E Ch. 10.2 - Prob. 22E Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Prob. 25E Ch. 10.2 - Prob. 26E Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Prob. 28E Ch. 10.2 - Prob. 29E Ch. 10.2 - Prob. 30E Ch. 10.2 - Prob. 31E Ch. 10.2 - Prob. 32E Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Prob. 34E Ch. 10.2 - Prob. 35E Ch. 10.2 - Solving a System of Equations in Three Variables...Ch. 10.2 - Prob. 37E Ch. 10.2 - Prob. 38E Ch. 10.2 - Financial Planning Mark has 100,000 to invest. His...Ch. 10.2 - Financial Planning Cyndee wants to invest 50,000....Ch. 10.2 - Agriculture A farmer has 1200 acres of land on...Ch. 10.2 - Gas Station A gas station sells three types of...Ch. 10.2 - Nutrition A biologist is performing an experiment...Ch. 10.2 - Diet Program Nicole started a new diet that...Ch. 10.2 - Juice Blends The Juice Company offers three kinds...Ch. 10.2 - Appliance Manufacturing Kitchen Korner produces...Ch. 10.2 - Stock Portfolio An investor owns three stocks: A,...Ch. 10.2 - Electricity By using Kirchhoffs Laws, it can be...Ch. 10.2 - Prob. 49E Ch. 10.3 - If a system of linear equations has infinitely...Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - Prob. 10E Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - Prob. 15E Ch. 10.3 - Form of a Matrix A matrix is given, (a) Determine...Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Elementary Row Operations Perform the indicated...Ch. 10.3 - Elementary Row Operations Perform the indicated...Ch. 10.3 - Prob. 23E Ch. 10.3 - Prob. 24E Ch. 10.3 - Prob. 25E Ch. 10.3 - Prob. 26E Ch. 10.3 - Prob. 27E Ch. 10.3 - Prob. 28E Ch. 10.3 - Prob. 29E Ch. 10.3 - Prob. 30E Ch. 10.3 - Prob. 31E Ch. 10.3 - Linear Systems with One Solution The system of...Ch. 10.3 - Prob. 33E Ch. 10.3 - Prob. 34E Ch. 10.3 - Prob. 35E Ch. 10.3 - Prob. 36E Ch. 10.3 - Prob. 37E Ch. 10.3 - Prob. 38E Ch. 10.3 - Prob. 39E Ch. 10.3 - Prob. 40E Ch. 10.3 - Prob. 41E Ch. 10.3 - Prob. 42E Ch. 10.3 - Prob. 43E Ch. 10.3 - Prob. 44E Ch. 10.3 - Prob. 45E Ch. 10.3 - Prob. 46E Ch. 10.3 - Prob. 47E Ch. 10.3 - Prob. 48E Ch. 10.3 - Prob. 49E Ch. 10.3 - Prob. 50E Ch. 10.3 - Prob. 51E Ch. 10.3 - Prob. 52E Ch. 10.3 - Prob. 53E Ch. 10.3 - Solving a Linear System Solve the system of linear...Ch. 10.3 - Prob. 55E Ch. 10.3 - Prob. 56E Ch. 10.3 - Prob. 57E Ch. 10.3 - Prob. 58E Ch. 10.3 - Prob. 59E Ch. 10.3 - Prob. 60E Ch. 10.3 - Prob. 61E Ch. 10.3 - Prob. 62E Ch. 10.3 - Prob. 63E Ch. 10.3 - Prob. 64E Ch. 10.3 - Prob. 65E Ch. 10.3 - Prob. 66E Ch. 10.3 - Prob. 67E Ch. 10.3 - Prob. 68E Ch. 10.3 - Nutrition A doctor recommends that a patient take...Ch. 10.3 - Mixtures A chemist has three acid solutions at...Ch. 10.3 - Distance, Speed, and Time Amanda, Bryce, and Corey...Ch. 10.3 - Classroom Use A small school has 100 students who...Ch. 10.3 - Manufacturing Furniture A furniture factory makes...Ch. 10.3 - Traffic Flow A section of a citys street network...Ch. 10.3 - Prob. 75E Ch. 10.4 - We can add (or subtract) two matrices only if they...Ch. 10.4 - (a) We can multiply two matrices only if the...Ch. 10.4 - Prob. 3E Ch. 10.4 - Fill in the missing entries in the product matrix....Ch. 10.4 - Prob. 5E Ch. 10.4 - Prob. 6E Ch. 10.4 - Equality of Matrices Find the values of a and b...Ch. 10.4 - Prob. 8E Ch. 10.4 - Prob. 9E Ch. 10.4 - Prob. 10E Ch. 10.4 - Prob. 11E Ch. 10.4 - Prob. 12E Ch. 10.4 - Prob. 13E Ch. 10.4 - Prob. 14E Ch. 10.4 - Prob. 15E Ch. 10.4 - Prob. 16E Ch. 10.4 - Prob. 17E Ch. 10.4 - Prob. 18E Ch. 10.4 - Prob. 19E Ch. 10.4 - Prob. 20E Ch. 10.4 - Prob. 21E Ch. 10.4 - Prob. 22E Ch. 10.4 - Prob. 23E Ch. 10.4 - Prob. 24E Ch. 10.4 - Prob. 25E Ch. 10.4 - Prob. 26E Ch. 10.4 - Prob. 27E Ch. 10.4 - Prob. 28E Ch. 10.4 - Prob. 29E Ch. 10.4 - Prob. 30E Ch. 10.4 - Prob. 31E Ch. 10.4 - Prob. 32E Ch. 10.4 - Prob. 33E Ch. 10.4 - Prob. 34E Ch. 10.4 - Prob. 35E Ch. 10.4 - Prob. 36E Ch. 10.4 - Prob. 37E Ch. 10.4 - Prob. 38E Ch. 10.4 - Prob. 39E Ch. 10.4 - Prob. 40E Ch. 10.4 - Prob. 41E Ch. 10.4 - Prob. 42E Ch. 10.4 - Prob. 43E Ch. 10.4 - Prob. 44E Ch. 10.4 - Prob. 45E Ch. 10.4 - Prob. 46E Ch. 10.4 - Prob. 47E Ch. 10.4 - Prob. 48E Ch. 10.4 - Prob. 49E Ch. 10.4 - Prob. 50E Ch. 10.4 - Prob. 51E Ch. 10.4 - Prob. 52E Ch. 10.4 - Education and Income A womens group takes a survey...Ch. 10.4 - Prob. 54E Ch. 10.4 - Frozen-Food Revenue Some of the frozen foods that...Ch. 10.4 - Fast-Food Sales A small fast-food chain with...Ch. 10.4 - Car-Manufacturing Profits A specialty-car...Ch. 10.4 - Canning Tomato Products Jaeger Foods produces...Ch. 10.4 - Produce Sales A farmers three children, Amy, Beth,...Ch. 10.4 - Digital Images A four-level gray scale is shown...Ch. 10.4 - Prob. 61E Ch. 10.4 - Prob. 62E Ch. 10.4 - DISCOVER: Powers of a Matrix Let A=[1111]...Ch. 10.4 - DISCUSS: Square Roots of Matrices A square root of...Ch. 10.5 - (a) The matrix I=[1001] is called an __________...Ch. 10.5 - Prob. 2E Ch. 10.5 - Prob. 3E Ch. 10.5 - Prob. 4E Ch. 10.5 - Prob. 5E Ch. 10.5 - Prob. 6E Ch. 10.5 - Prob. 7E Ch. 10.5 - Prob. 8E Ch. 10.5 - The Inverse of a 2 2 Matrix Use a graphing...Ch. 10.5 - Prob. 10E Ch. 10.5 - Prob. 11E Ch. 10.5 - Prob. 12E Ch. 10.5 - Prob. 13E Ch. 10.5 - Prob. 14E Ch. 10.5 - Prob. 15E Ch. 10.5 - Prob. 16E Ch. 10.5 - Prob. 17E Ch. 10.5 - Prob. 18E Ch. 10.5 - Prob. 19E Ch. 10.5 - Prob. 20E Ch. 10.5 - Prob. 21E Ch. 10.5 - Prob. 22E Ch. 10.5 - Prob. 23E Ch. 10.5 - Prob. 24E Ch. 10.5 - Prob. 25E Ch. 10.5 - Prob. 26E Ch. 10.5 - Prob. 27E Ch. 10.5 - Prob. 28E Ch. 10.5 - Prob. 29E Ch. 10.5 - Prob. 30E Ch. 10.5 - Prob. 31E Ch. 10.5 - Prob. 32E Ch. 10.5 - Prob. 33E Ch. 10.5 - Prob. 34E Ch. 10.5 - Prob. 35E Ch. 10.5 - Prob. 36E Ch. 10.5 - Prob. 37E Ch. 10.5 - Prob. 38E Ch. 10.5 - Solving a Linear System as a Matrix Equation Solve...Ch. 10.5 - Prob. 40E Ch. 10.5 - Prob. 41E Ch. 10.5 - Prob. 42E Ch. 10.5 - Prob. 43E Ch. 10.5 - Prob. 44E Ch. 10.5 - Prob. 45E Ch. 10.5 - Prob. 46E Ch. 10.5 - Solving a Linear System Solve the system of...Ch. 10.5 - Prob. 48E Ch. 10.5 - Prob. 49E Ch. 10.5 - Prob. 50E Ch. 10.5 - Prob. 51E Ch. 10.5 - Prob. 52E Ch. 10.5 - Prob. 53E Ch. 10.5 - Prob. 54E Ch. 10.5 - Inverses of Special Matrices Find the inverse of...Ch. 10.5 - Prob. 56E Ch. 10.5 - Prob. 57E Ch. 10.5 - When Do Matrices Have Inverses? Find the inverse...Ch. 10.5 - Prob. 59E Ch. 10.5 - Prob. 60E Ch. 10.5 - Nutrition A nutritionist is studying the effects...Ch. 10.5 - Prob. 62E Ch. 10.5 - Sales Commissions A saleswoman works at a kiosk...Ch. 10.5 - Prob. 64E Ch. 10.6 - True or false? det(A) is defined only for a square...Ch. 10.6 - Prob. 2E Ch. 10.6 - True or false? If det(A) = 0, then A is not...Ch. 10.6 - Prob. 4E Ch. 10.6 - Prob. 5E Ch. 10.6 - Prob. 6E Ch. 10.6 - Prob. 7E Ch. 10.6 - Prob. 8E Ch. 10.6 - Prob. 9E Ch. 10.6 - Prob. 10E Ch. 10.6 - Prob. 11E Ch. 10.6 - Prob. 12E Ch. 10.6 - Prob. 13E Ch. 10.6 - Prob. 14E Ch. 10.6 - Prob. 15E Ch. 10.6 - Minors and Cofactors Evaluate the minor and...Ch. 10.6 - Prob. 17E Ch. 10.6 - Prob. 18E Ch. 10.6 - Prob. 19E Ch. 10.6 - Prob. 20E Ch. 10.6 - Prob. 21E Ch. 10.6 - Prob. 22E Ch. 10.6 - Prob. 23E Ch. 10.6 - Prob. 24E Ch. 10.6 - Prob. 25E Ch. 10.6 - Prob. 26E Ch. 10.6 - Prob. 27E Ch. 10.6 - Prob. 28E Ch. 10.6 - Prob. 29E Ch. 10.6 - Prob. 30E Ch. 10.6 - Prob. 31E Ch. 10.6 - Prob. 32E Ch. 10.6 - Prob. 33E Ch. 10.6 - Prob. 34E Ch. 10.6 - Prob. 35E Ch. 10.6 - Determinants Using Row and Column Operations...Ch. 10.6 - Prob. 37E Ch. 10.6 - Prob. 38E Ch. 10.6 - Prob. 39E Ch. 10.6 - Prob. 40E Ch. 10.6 - Prob. 41E Ch. 10.6 - Prob. 42E Ch. 10.6 - Prob. 43E Ch. 10.6 - Prob. 44E Ch. 10.6 - Prob. 45E Ch. 10.6 - Prob. 46E Ch. 10.6 - Prob. 47E Ch. 10.6 - Prob. 48E Ch. 10.6 - Prob. 49E Ch. 10.6 - Prob. 50E Ch. 10.6 - Prob. 51E Ch. 10.6 - Cramers Rule Use Cramers Rule to solve the system....Ch. 10.6 - Prob. 53E Ch. 10.6 - Prob. 54E Ch. 10.6 - Cramers Rule Use Cramers Rule to solve the system....Ch. 10.6 - Prob. 56E Ch. 10.6 - Prob. 57E Ch. 10.6 - Prob. 58E Ch. 10.6 - Prob. 59E Ch. 10.6 - Prob. 60E Ch. 10.6 - Prob. 61E Ch. 10.6 - Determinants of Special Matrices Evaluate the...Ch. 10.6 - Prob. 63E Ch. 10.6 - Prob. 64E Ch. 10.6 - Prob. 65E Ch. 10.6 - Prob. 66E Ch. 10.6 - Prob. 67E Ch. 10.6 - Number of Solutions of a Linear System Consider...Ch. 10.6 - Prob. 69E Ch. 10.6 - Prob. 70E Ch. 10.6 - Prob. 71E Ch. 10.6 - The Arch of a Bridge The opening of a railway...Ch. 10.6 - A Triangular Plot of Land An outdoors club is...Ch. 10.6 - Prob. 74E Ch. 10.6 - Prob. 75E Ch. 10.6 - Prob. 76E Ch. 10.7 - For each rational function r, choose from (i)(iv)...Ch. 10.7 - Prob. 2E Ch. 10.7 - Prob. 3E Ch. 10.7 - Prob. 4E Ch. 10.7 - Prob. 5E Ch. 10.7 - Prob. 6E Ch. 10.7 - Prob. 7E Ch. 10.7 - Prob. 8E Ch. 10.7 - Prob. 9E Ch. 10.7 - Prob. 10E Ch. 10.7 - Prob. 11E Ch. 10.7 - Prob. 12E Ch. 10.7 - Prob. 13E Ch. 10.7 - Prob. 14E Ch. 10.7 - Prob. 15E Ch. 10.7 - Prob. 16E Ch. 10.7 - Prob. 17E Ch. 10.7 - Prob. 18E Ch. 10.7 - Prob. 19E Ch. 10.7 - Prob. 20E Ch. 10.7 - Prob. 21E Ch. 10.7 - Prob. 22E Ch. 10.7 - Prob. 23E Ch. 10.7 - Prob. 24E Ch. 10.7 - Prob. 25E Ch. 10.7 - Prob. 26E Ch. 10.7 - Prob. 27E Ch. 10.7 - Prob. 28E Ch. 10.7 - Prob. 29E Ch. 10.7 - Prob. 30E Ch. 10.7 - Prob. 31E Ch. 10.7 - Prob. 32E Ch. 10.7 - Prob. 33E Ch. 10.7 - Prob. 34E Ch. 10.7 - Prob. 35E Ch. 10.7 - Prob. 36E Ch. 10.7 - Prob. 37E Ch. 10.7 - Prob. 38E Ch. 10.7 - Prob. 39E Ch. 10.7 - Prob. 40E Ch. 10.7 - Prob. 41E Ch. 10.7 - Prob. 42E Ch. 10.7 - Prob. 43E Ch. 10.7 - Prob. 44E Ch. 10.7 - Prob. 45E Ch. 10.7 - Partial Fractions Determine A, B, C, and D in...Ch. 10.7 - Prob. 47E Ch. 10.7 - Prob. 48E Ch. 10.8 - The system of equations {2yx2=0yx=4 is graphed...Ch. 10.8 - Prob. 2E Ch. 10.8 - Substitution Method Use the substitution method to...Ch. 10.8 - Prob. 4E Ch. 10.8 - Prob. 5E Ch. 10.8 - Prob. 6E Ch. 10.8 - Prob. 7E Ch. 10.8 - Prob. 8E Ch. 10.8 - Elimination Method Use the elimination method to...Ch. 10.8 - Prob. 10E Ch. 10.8 - Prob. 11E Ch. 10.8 - Prob. 12E Ch. 10.8 - Elimination Method Use the elimination method to...Ch. 10.8 - Prob. 14E Ch. 10.8 - Finding Intersection Points Graphically Two...Ch. 10.8 - Prob. 16E Ch. 10.8 - Prob. 17E Ch. 10.8 - Prob. 18E Ch. 10.8 - Prob. 19E Ch. 10.8 - Prob. 20E Ch. 10.8 - Prob. 21E Ch. 10.8 - Prob. 22E Ch. 10.8 - Solving Nonlinear Systems Find all solutions of...Ch. 10.8 - Prob. 24E Ch. 10.8 - Prob. 25E Ch. 10.8 - Prob. 26E Ch. 10.8 - Prob. 27E Ch. 10.8 - Prob. 28E Ch. 10.8 - Prob. 29E Ch. 10.8 - Prob. 30E Ch. 10.8 - Solving Nonlinear Systems Find all solutions of...Ch. 10.8 - Prob. 32E Ch. 10.8 - Prob. 33E Ch. 10.8 - Prob. 34E Ch. 10.8 - Prob. 35E Ch. 10.8 - Graphical Method Use the graphical method to find...Ch. 10.8 - Prob. 37E Ch. 10.8 - Prob. 38E Ch. 10.8 - Prob. 39E Ch. 10.8 - Prob. 40E Ch. 10.8 - Some Trickier Systems Follow the hints and solve...Ch. 10.8 - Prob. 42E Ch. 10.8 - Some Trickier Systems Follow the hints and solve...Ch. 10.8 - Prob. 44E Ch. 10.8 - Legs of a Right Triangle A right triangle has an...Ch. 10.8 - Dimensions of a Rectangle A rectangle has an area...Ch. 10.8 - Dimensions of a Rectangle The perimeter of a...Ch. 10.8 - Dimensions of a Rectangle A circular piece of...Ch. 10.8 - Flight of a Rocket A hill is inclined so that its...Ch. 10.8 - Making a Stovepipe A rectangular piece of sheet...Ch. 10.8 - Global Positioning System (GPS) The Global...Ch. 10.8 - Prob. 52E Ch. 10.9 - Prob. 1E Ch. 10.9 - To graph an inequality, we first graph the...Ch. 10.9 - Prob. 3E Ch. 10.9 - Prob. 4E Ch. 10.9 - Prob. 5E Ch. 10.9 - Prob. 6E Ch. 10.9 - Prob. 7E Ch. 10.9 - Prob. 8E Ch. 10.9 - Prob. 9E Ch. 10.9 - Prob. 10E Ch. 10.9 - Prob. 11E Ch. 10.9 - Prob. 12E Ch. 10.9 - Graphing Inequalities 13. x 2 Ch. 10.9 - Prob. 14E Ch. 10.9 - Prob. 15E Ch. 10.9 - Prob. 16E Ch. 10.9 - Prob. 17E Ch. 10.9 - Prob. 18E Ch. 10.9 - Prob. 19E Ch. 10.9 - Graphing Inequalities 20. y x2 +1 Ch. 10.9 - Prob. 21E Ch. 10.9 - Prob. 22E Ch. 10.9 - Prob. 23E Ch. 10.9 - Prob. 24E Ch. 10.9 - Prob. 25E Ch. 10.9 - Prob. 26E Ch. 10.9 - Prob. 27E Ch. 10.9 - Prob. 28E Ch. 10.9 - Prob. 29E Ch. 10.9 - Prob. 30E Ch. 10.9 - Prob. 31E Ch. 10.9 - Prob. 32E Ch. 10.9 - Prob. 33E Ch. 10.9 - Prob. 34E Ch. 10.9 - Systems of Inequalities Graph the solution set of...Ch. 10.9 - Prob. 36E Ch. 10.9 - Prob. 37E Ch. 10.9 - Prob. 38E Ch. 10.9 - Prob. 39E Ch. 10.9 - Prob. 40E Ch. 10.9 - Prob. 41E Ch. 10.9 - Prob. 42E Ch. 10.9 - Prob. 43E Ch. 10.9 - Prob. 44E Ch. 10.9 - Prob. 45E Ch. 10.9 - Prob. 46E Ch. 10.9 - Prob. 47E Ch. 10.9 - Prob. 48E Ch. 10.9 - Systems of Inequalities Graph the solution set of...Ch. 10.9 - Prob. 50E Ch. 10.9 - Prob. 51E Ch. 10.9 - Prob. 52E Ch. 10.9 - Prob. 53E Ch. 10.9 - Prob. 54E Ch. 10.9 - Prob. 55E Ch. 10.9 - Prob. 56E Ch. 10.9 - Prob. 57E Ch. 10.9 - Prob. 58E Ch. 10.9 - Prob. 59E Ch. 10.9 - Prob. 60E Ch. 10.9 - Prob. 61E Ch. 10.9 - Prob. 62E Ch. 10.9 - Systems of Inequalities Graph the system of...Ch. 10.9 - Prob. 64E Ch. 10.9 - Prob. 65E Ch. 10.9 - Prob. 66E Ch. 10.9 - Graphing Systems of Inequalities Use a graphing...Ch. 10.9 - Prob. 68E Ch. 10.9 - Planting Crops A farmer has 500 acres of arable...Ch. 10.9 - Planting Crops A farmer has 300 acres of arable...Ch. 10.9 - Prob. 71E Ch. 10.9 - Prob. 72E Ch. 10.9 - Coffee Blends A coffee merchant sells two...Ch. 10.9 - Nutrition A cat food manufacturer uses fish and...Ch. 10.9 - DISCUSS: Shading Unwanted Regions To graph the...Ch. 10 - (a) What are the three methods we use to solve a...Ch. 10 - Prob. 2RCC Ch. 10 - What operations can be performed on a linear...Ch. 10 - Prob. 4RCC Ch. 10 - Prob. 5RCC Ch. 10 - What is the row-echelon form of a matrix? What is...Ch. 10 - Prob. 7RCC Ch. 10 - Prob. 8RCC Ch. 10 - Prob. 9RCC Ch. 10 - (a) How do Gaussian elimination and Gauss-Jordan...Ch. 10 - Prob. 11RCC Ch. 10 - Prob. 12RCC Ch. 10 - Prob. 13RCC Ch. 10 - Prob. 14RCC Ch. 10 - Prob. 15RCC Ch. 10 - Prob. 16RCC Ch. 10 - Prob. 17RCC Ch. 10 - Prob. 1RE Ch. 10 - Prob. 2RE Ch. 10 - Prob. 3RE Ch. 10 - Prob. 4RE Ch. 10 - Prob. 5RE Ch. 10 - Prob. 6RE Ch. 10 - Systems of Nonlinear Equations Solve the system of...Ch. 10 - Prob. 8RE Ch. 10 - Prob. 9RE Ch. 10 - Prob. 10RE Ch. 10 - Prob. 11RE Ch. 10 - Prob. 12RE Ch. 10 - Prob. 13RE Ch. 10 - Prob. 14RE Ch. 10 - Prob. 15RE Ch. 10 - Prob. 16RE Ch. 10 - Prob. 17RE Ch. 10 - Prob. 18RE Ch. 10 - Prob. 19RE Ch. 10 - Prob. 20RE Ch. 10 - Prob. 21RE Ch. 10 - Prob. 22RE Ch. 10 - Prob. 23RE Ch. 10 - Prob. 24RE Ch. 10 - Prob. 25RE Ch. 10 - Prob. 26RE Ch. 10 - Prob. 27RE Ch. 10 - Prob. 28RE Ch. 10 - Prob. 29RE Ch. 10 - Prob. 30RE Ch. 10 - Prob. 31RE Ch. 10 - Prob. 32RE Ch. 10 - Prob. 33RE Ch. 10 - Prob. 34RE Ch. 10 - Prob. 35RE Ch. 10 - Prob. 36RE Ch. 10 - Prob. 37RE Ch. 10 - Prob. 38RE Ch. 10 - Prob. 39RE Ch. 10 - Prob. 40RE Ch. 10 - Prob. 41RE Ch. 10 - Prob. 42RE Ch. 10 - Prob. 43RE Ch. 10 - Number of Coins A piggy bank contains 50 coins,...Ch. 10 - Investments Clarisse invests 60,000 in...Ch. 10 - Prob. 46RE Ch. 10 - Matrix Operations Let...Ch. 10 - Prob. 48RE Ch. 10 - Prob. 49RE Ch. 10 - Prob. 50RE Ch. 10 - Prob. 51RE Ch. 10 - Prob. 52RE Ch. 10 - Prob. 53RE Ch. 10 - Prob. 54RE Ch. 10 - Prob. 55RE Ch. 10 - Prob. 56RE Ch. 10 - Prob. 57RE Ch. 10 - Prob. 58RE Ch. 10 - Prob. 59RE Ch. 10 - Inverse Matrices Verify that the matrices A and B...Ch. 10 - Prob. 61RE Ch. 10 - Prob. 62RE Ch. 10 - Prob. 63RE Ch. 10 - Prob. 64RE Ch. 10 - Prob. 65RE Ch. 10 - Prob. 66RE Ch. 10 - Prob. 67RE Ch. 10 - Prob. 68RE Ch. 10 - Prob. 69RE Ch. 10 - Prob. 70RE Ch. 10 - Prob. 71RE Ch. 10 - Prob. 72RE Ch. 10 - Prob. 73RE Ch. 10 - Prob. 74RE Ch. 10 - Using Inverse Matrices to solve a System Express...Ch. 10 - Prob. 76RE Ch. 10 - Prob. 77RE Ch. 10 - Prob. 78RE Ch. 10 - Prob. 79RE Ch. 10 - Prob. 80RE Ch. 10 - Prob. 81RE Ch. 10 - Prob. 82RE Ch. 10 - Prob. 83RE Ch. 10 - Prob. 84RE Ch. 10 - Prob. 85RE Ch. 10 - Prob. 86RE Ch. 10 - Prob. 87RE Ch. 10 - Prob. 88RE Ch. 10 - Prob. 89RE Ch. 10 - Prob. 90RE Ch. 10 - Prob. 91RE Ch. 10 - Prob. 92RE Ch. 10 - Prob. 93RE Ch. 10 - Prob. 94RE Ch. 10 - Prob. 95RE Ch. 10 - Prob. 96RE Ch. 10 - Prob. 97RE Ch. 10 - Prob. 98RE Ch. 10 - Prob. 99RE Ch. 10 - Prob. 100RE Ch. 10 - Prob. 101RE Ch. 10 - Prob. 102RE Ch. 10 - Prob. 103RE Ch. 10 - Prob. 104RE Ch. 10 - Prob. 105RE Ch. 10 - Prob. 106RE Ch. 10 - Prob. 107RE Ch. 10 - Prob. 108RE Ch. 10 - Prob. 109RE Ch. 10 - Prob. 110RE Ch. 10 - Prob. 111RE Ch. 10 - Prob. 112RE Ch. 10 - Prob. 1T Ch. 10 - Prob. 2T Ch. 10 - Prob. 3T Ch. 10 - Prob. 4T Ch. 10 - Prob. 5T Ch. 10 - Prob. 6T Ch. 10 - Prob. 7T Ch. 10 - Anne, Barry, and Cathy enter a coffee shop. Anne...Ch. 10 - Prob. 9T Ch. 10 - Prob. 10T Ch. 10 - Only one of the following matrices has an inverse....Ch. 10 - Prob. 12T Ch. 10 - Prob. 13T Ch. 10 - Prob. 14T Ch. 10 - Find the maximum and minimum values of the given...Ch. 10 - Prob. 2P Ch. 10 - Prob. 3P Ch. 10 - Find the maximum and minimum value of the given...Ch. 10 - Making Furniture A furniture manufacturer makes...Ch. 10 - A Housing Development A housing contractor has...Ch. 10 - Hauling Fruit A trucker hauls citrus fruit from...Ch. 10 - Manufacturing Calculators A manufacturer of...Ch. 10 - Shipping Televisions An electronics discount chain...Ch. 10 - Prob. 10P Ch. 10 - Packaging Nuts A confectioner sells two types of...Ch. 10 - Feeding Lab Rabbits A biologist wishes to feed...Ch. 10 - Investing in Bonds A woman wishes to invest 12,000...Ch. 10 - Prob. 14P Ch. 10 - Business Strategy A small software company...Ch. 10 - Feasible Region All parts of this problem refer to...

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The determinant of the given matrix and check whether inverse exists or not.

Solution Summary: The author explains how to find the determinant of the given matrix and check whether inverse exists or not.

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Chapter 10 Solutions