College Algebra 1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: Jay Abramson
1 Prerequisites 2 Equations And Inequalities 3 Functions 4 Linear Functions 5 Polynomial And Rational Functions 6 Exponential And Logarithmic Functions 7 Systems Of Equations And Inequalities 8 Analytic Geometry 9 Sequences, Probability And Counting Theory Chapter7: Systems Of Equations And Inequalities
7.1 Systems Of Linear Equations: Two Variables 7.2 Systems Of Linear Equations: Three Variables 7.3 Systems Of Nonlinear Equations And Inequalities: Two Variables 7.4 Partial Fractions 7.5 Matrices And Matrix Operations 7.6 Solving Systems With Gaussian Elimination 7.7 Solving Systems With Inverses 7.8 Solving Systems With Cramer's Rule Chapter Questions Section7.2: Systems Of Linear Equations: Three Variables
Problem 1TI: Solve the system of equations in three variables. 2x+y2z=13x3yz=5x2y+3z=6 Problem 2TI: Solve the system of equations in three variables. x+y+z=2y3z=12x+y+5z=0 Problem 3TI: Solve the following system x+y+z=73x2yz=4x+6y+5z=24 Problem 1SE: Can a linear system of three equations have exactly two solutions? Explain why or why not Problem 2SE: If a given ordered triple solves the system of equations, is that solution unique? If so, explain... Problem 3SE: If a given ordered triple does not solve the system of equations, is there no solution? If so,... Problem 4SE: Using the method of addition, is there only one way to solve the system? Problem 5SE: Can you explain whether there can be only one method to solve a linear system of equations? If yes,... Problem 6SE: For the Following exercises, determine whether the ordered triple given is the solution to the... Problem 7SE: For the Following exercises, determine whether the ordered triple given is the solution to the... Problem 8SE: For the Following exercises, determine whether the ordered triple given is the solution to the... Problem 9SE: For the Following exercises, determine whether the ordered triple given is the solution to the... Problem 10SE: For the Following exercises, determine whether the ordered triple given is the solution to the... Problem 11SE: For the following exercises, solve each system by substitution. 3x4y+2z=152x+4y+z=162x+3y+5z=20 Problem 12SE: For the following exercises, solve each system by substitution. 5x2y+3z=202x4y3z=9x+6y8z=21 Problem 13SE: For the following exercises, solve each system by substitution. 5x+2y+4z=93x+2y+z=104x3y+5z=3 Problem 14SE: For the following exercises, solve each system by substitution. 4x3y+5z=31x+2y+4z=20x+5y2z=29 Problem 15SE: For the following exercises, solve each system by substitution. 15. 5x2y+3z=44x+6y7z=13x+2yz=4 Problem 16SE: For the following exercises, solve each system by substitution. 16. 4x+6y+9z=05x+2y6z=37x4y+3z=3 Problem 17SE: For the following exercises, solve each system by substitution. 17. 2xy+3z=175x+4y2z=462y+5z=7 Problem 18SE: For the following exercises, solve each system by substitution. 5x6y+3z=50x+4y=102xz=10 Problem 19SE: For the following exercises, solve each system by Gaussian elimination.... Problem 20SE: For the following exercises, solve each system by Gaussian elimination. 4x+6y2z=86x+9y3z=122x3y+z=4 Problem 21SE: For the following exercises, solve each system by Gaussian elimination. 21.... Problem 22SE: For the following exercises, solve each system by Gaussian elimination.... Problem 23SE: For the following exercises, solve each system by Gaussian elimination. 23.... Problem 24SE: For the following exercises, solve each system by Gaussian elimination. 5x3y+4z=14x+2y3z=0x+5y+7z=11 Problem 25SE: For the following exercises, solve each system by Gaussian elimination. x+y+z=02xy+3z=0xz=0 Problem 26SE: For the following exercises, solve each system by Gaussian elimination.... Problem 27SE: For the following exercises, solve each system by Gaussian elimination. x+y+z=02xy+3z=0xz=1 Problem 28SE: For the following exercises, solve each system by Gaussian elimination. 3x12yz=124x+z=3x+32y=52 Problem 29SE: For the following exercises, solve each system by Gaussian elimination.... Problem 30SE: For the following exercises, solve each system by Gaussian elimination.... Problem 31SE: For the following exercises, solve each system by Gaussian elimination.... Problem 32SE: For the following exercises, solve each system by Gaussian elimination.... Problem 33SE: For the following exercises, solve each system by Gaussian elimination.... Problem 34SE: For the following exercises, solve each system by Gaussian elimination.... Problem 35SE: For the following exercises, solve each system by Gaussian elimination.... Problem 36SE: For the following exercises, solve each system by Gaussian elimination.... Problem 37SE: For the following exercises, solve each system by Gaussian elimination.... Problem 38SE: For the following exercises, solve each system by Gaussian elimination.... Problem 39SE: For the following exercises, solve each system by Gaussian elimination.... Problem 40SE: For the following exercises, solve each system by Gaussian elimination.... Problem 41SE: For the following exercises, solve each system by Gaussian elimination.... Problem 42SE: For the following exercises, solve each system by Gaussian elimination.... Problem 43SE: For the following exercises, solve each system by Gaussian elimination. 43.... Problem 44SE: For the following exercises, solve each system by Gaussian elimination. 44.... Problem 45SE: For the following exercises, solve each system by Gaussian elimination. 45.... Problem 46SE: For the following exercises, solve the system for x, y, and z. 46.... Problem 47SE: For the following exercises, solve the system for x, y, and z. 47. 5x3yz+12=126x+y92+2z=3x+824y+z=4 Problem 48SE: For the following exercises, solve the system for x, y, and z. 48.... Problem 49SE: For the following exercises, solve the system for x, y, and z. 49.... Problem 50SE: For the following exercises, solve the system for x, y, and z. 50.... Problem 51SE: Three even numbers sum up to 108. The smaller is half the larger and the middle number is 34 the... Problem 52SE: Three numbers sum up to 147. The smallest number is half the middle number, which is half the... Problem 53SE: At a family reunion, there were only blood relatives, consisting of children, parents, and... Problem 54SE: An animal shelter has a total of 350 animals comprised of cats, dogs, and rabbits. If the number of... Problem 55SE: Your roommate, Sarah, offered to buy groceries for you and your other roommate. The total bill was... Problem 56SE: Your roommate, John, offered to buy household supplies for you and your other roommate. You live... Problem 57SE: Three coworkers work for the same employer. Their jobs are warehouse manager, office manager, and... Problem 58SE: At a carnival, $2,914.25 in receipts were taken at the end of the day. The cost of a child's ticket... Problem 59SE: A local band sells out for their concert. They sell all 1,175 tickets for a total purse of... Problem 60SE: In a bag, a child has 325 coins worth $19.50. There were three types of coins: pennies, nickels, and... Problem 61SE: Last year, at Haven's Pond Car Dealership, for a particular model of BMW, Jeep, and Toyota, one... Problem 62SE: A recent college graduate took advantage of his business education and invested in three investments... Problem 63SE: You inherit one million dollars. You invest it all in three accounts for one year. The first account... Problem 64SE: You inherit one hundred thousand dollars. You invest it all in three accounts for one year. The... Problem 65SE: The top three countries in oil consumption in a certain year are as follows: the United States,... Problem 66SE: The top three countries in oil production in the same year are Saudi Arabia, the United States, and... Problem 67SE: The top three sources of oil imports for the United States in the same year were Saudi Arabia,... Problem 68SE: The top three oil producers in the United States in a certain year are the Gulf of Mexico, Texas,... Problem 69SE: At one time, in the United States, 398 species of animals were on the endangered species list. The... Problem 70SE: Meat consumption in the United States can be broken into three categories: red meat, poultry, and... Problem 4SE: Using the method of addition, is there only one way to solve the system?
Use the method of Gaussian Elimination with the partial pivoting strat-vector for each stage of the
Transcribed Image Text: Use the method of Gaussian Elimination with the partial pivoting strat-
egy to solve the linear system
-2.7w+2.6x0.5y-2.3z = -13.8,
2.5w+0.8x 0.1y + 2.2z = 5.8,
-
3.0w+2.4x+2.5y0.9z = 6.7,
-
-2.0w2.4x+1.3y = 0.1z = 0.1.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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