![Elementary Linear Algebra (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_largeCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN: 9781305658004
Author: Ron Larson
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Chapter 3.CR, Problem 55CR
To determine
To find:
The methods which requires the least amount of computation and the method preferred when the matrix has very few zeros.
Expert Solution & Answer
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Students have asked these similar questions
Asked this question and got a wrong answer previously: Third, show that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say?
Determine whether the inverse of f(x)=x^4+2 is a function. Then, find the inverse.
The
173 acellus.com StudentFunctions inter
ooks 24-25/08 R
Mastery Connect
ac
?ClassiD-952638111#
Introduction - Surface Area of Composite Figures
3 cm
3 cm
8 cm
8 cm
Find the surface area of
the composite figure.
2
SA = [?] cm²
7 cm
REMEMBER!
Exclude areas
where complex
shapes touch.
7 cm
12 cm
10 cm
might ©2003-2025 International Academy of Science. All Rights Reserved.
Enter
Chapter 3 Solutions
Elementary Linear Algebra (MindTap Course List)
Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - The Determinant of a Matrix In Exercises 1-12,...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Finding the Minors and Cofactors of a Matrix In...Ch. 3.1 - Find the determinant of the matrix in Exercise 15...Ch. 3.1 - Find the determinant of the matrix in Exercise 16...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Prob. 24ECh. 3.1 - Find a Determinant In Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Finding a determinant in Exercises 19-32, use...Ch. 3.1 - Prob. 32ECh. 3.1 - Finding a Determinant in Exercises 33 and 34, use...Ch. 3.1 - Finding a Determinant in Exercises 33 and 34, use...Ch. 3.1 - Finding a Determinant In Exercises 35-38, use a...Ch. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - Finding the Determinant of a Triangular Matrix In...Ch. 3.1 - True or False ? a The determinant of a 22 matrix A...Ch. 3.1 - True or False ? a To find the determinant of a...Ch. 3.1 - Solving an Equation In Exercises 45-48, solve for...Ch. 3.1 - Prob. 46ECh. 3.1 - Solving an Equation In Exercises 45-48, solve for...Ch. 3.1 - Solving an Equation In Exercises 45-48, solve for...Ch. 3.1 - Solving an Equation In Exercises 4952, find the...Ch. 3.1 - Solving an Equation In Exercises 4952, find the...Ch. 3.1 - Solving an Equation In Exercises 49-52, find the...Ch. 3.1 - Solving an Equation In Exercises 49-52, find the...Ch. 3.1 - Show that the system of linear equations...Ch. 3.1 - Prob. 54ECh. 3.1 - Entries Involving Expressions In Exercises 55- 62,...Ch. 3.1 - Prob. 56ECh. 3.1 - Entries Involving Expressions In Exercises 55-62,...Ch. 3.1 - Prob. 58ECh. 3.1 - Entries Involving Expressions In Exercises 55- 62,...Ch. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Verifying an Equation In Exercises 63-68, evaluate...Ch. 3.1 - Prob. 64ECh. 3.1 - Verify an Equation In Exercises 63-68, evaluate...Ch. 3.1 - Prob. 66ECh. 3.1 - Verifying an equation In Exercises 63-68, evaluate...Ch. 3.1 - Prob. 68ECh. 3.1 - You are given the equation |x0c1xb01a|=ax2+bx+c....Ch. 3.1 - The determinant of a 22 matrix involves two...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 6ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 8ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 10ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 12ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 16ECh. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Prob. 18ECh. 3.2 - Properties of Determinant In Exercises 1-20,...Ch. 3.2 - Properties of Determinants In Exercises 1-20,...Ch. 3.2 - Finding a Determinant In Exercises 2124, use...Ch. 3.2 - Finding a Determinant In Exercises 2124, use...Ch. 3.2 - Finding a Determinant In Exercises 2124, use...Ch. 3.2 - Prob. 24ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 26ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 28ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 34ECh. 3.2 - Finding a Determinant In Exercises 25-36, use...Ch. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Finding the Determinant of an Elementary Matrix In...Ch. 3.2 - Proof Prove the property....Ch. 3.2 - Proof Prove the property....Ch. 3.2 - Find each determinant. a |cossinsincos| b...Ch. 3.2 - CAPSTONE Evaluate each determinant when a = 1, b =...Ch. 3.2 - Guided Proof Prove Property 2 of Theorem 3.3: When...Ch. 3.2 - Prob. 48ECh. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - The determinant of a matrix product In Exercises...Ch. 3.3 - Prob. 6ECh. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - Prob. 8ECh. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - Prob. 10ECh. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - The Determinant of a scalar multiple of a Matrix...Ch. 3.3 - Prob. 14ECh. 3.3 - The Determinant of a Matrix Sum In Exercises...Ch. 3.3 - Prob. 16ECh. 3.3 - The Determinant of a Matrix Sum In Exercises...Ch. 3.3 - Prob. 18ECh. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Prob. 20ECh. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Classifying Matrices as Singular or Nonsingular In...Ch. 3.3 - Prob. 24ECh. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - The Determinant of a Matrix in Exercises 25-30,...Ch. 3.3 - Prob. 30ECh. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - System of Linear Equation In Exercises 31-36, use...Ch. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Singular Matrices In Exercises 37-42, find the...Ch. 3.3 - Prob. 42ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 44ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 46ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 48ECh. 3.3 - Finding Determinants In Exercises 43-50, find...Ch. 3.3 - Prob. 50ECh. 3.3 - Finding Determinants In Exercises 51-56, use a...Ch. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.3 - Prob. 55ECh. 3.3 - Prob. 56ECh. 3.3 - Let A and B be square matrices of order 4 such...Ch. 3.3 - CAPSTONE Let A and B be square matrices of order 3...Ch. 3.3 - Proof Let A and B be nn matrices such that...Ch. 3.3 - Prob. 60ECh. 3.3 - Find two 22 matrices such that |A|+|B|=|A+B|.Ch. 3.3 - Prob. 62ECh. 3.3 - Let A be an nn matrix in which the entries of each...Ch. 3.3 - Illustrate the result of Exercise 63 with the...Ch. 3.3 - Guided Proof Prove that the determinant of an...Ch. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - Prob. 72ECh. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - Prob. 75ECh. 3.3 - Orthogonal Matrices in Exercises 73-78, determine...Ch. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.3 - Prob. 81ECh. 3.3 - Prob. 82ECh. 3.3 - Proof If A is an idempotent matrix (A2=A), then...Ch. 3.3 - Prob. 84ECh. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Prob. 2ECh. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Finding the Adjoint and Inverse of a Matrix In...Ch. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 10ECh. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 20ECh. 3.4 - Using Cramers Rule In Exercises 9-22, use Cramers...Ch. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Use Cramers Rule to solve the system of linear...Ch. 3.4 - Verify the system of linear equations in cosA,...Ch. 3.4 - Finding the Area of a Triangle In Exercises 29-32,...Ch. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Finding an Equation of a Line In Exercises 37-40,...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Finding the Volume of a Tetrahedron In Exercises...Ch. 3.4 - Testing for Coplanar Points In Exercises 47-52,...Ch. 3.4 - Testing for Coplanar Points In Exercises 47-52,...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Testing for Coplanar Points In exercises 47-52...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Finding an equation of a plane In Exercises 53-58,...Ch. 3.4 - Using Cramers Rule In Exercises 59 and 60,...Ch. 3.4 - Using Cramers Rule In Exercises 59 and 60,...Ch. 3.4 - Software Publishing The table shows the estimate...Ch. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Prob. 69ECh. 3.4 - Prob. 70ECh. 3.CR - The Determinant of a Matrix In Exercises 1-18,...Ch. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - The Determinant of a Matrix In Exercises 1-18,...Ch. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Prob. 15CRCh. 3.CR - Prob. 16CRCh. 3.CR - Prob. 17CRCh. 3.CR - Prob. 18CRCh. 3.CR - Properties of Determinants In Exercises 19-22,...Ch. 3.CR - Properties of Determinants In Exercises 19-22,...Ch. 3.CR - Prob. 21CRCh. 3.CR - Prob. 22CRCh. 3.CR - Prob. 23CRCh. 3.CR - Prob. 24CRCh. 3.CR - Prob. 25CRCh. 3.CR - Prob. 26CRCh. 3.CR - Prob. 27CRCh. 3.CR - Finding Determinants In Exercises 27 and 28, find...Ch. 3.CR - Prob. 29CRCh. 3.CR - Prob. 30CRCh. 3.CR - Prob. 31CRCh. 3.CR - The Determinant of the Inverse of a Matrix In...Ch. 3.CR - Prob. 33CRCh. 3.CR - Prob. 34CRCh. 3.CR - Solving a System of Linear Equations In Exercises...Ch. 3.CR - Solving a System of Linear Equations In Exercises...Ch. 3.CR - Prob. 37CRCh. 3.CR - Prob. 38CRCh. 3.CR - System of Linear Equation In Exercises 37-42, use...Ch. 3.CR - System of Linear Equation In Exercises 37-42, use...Ch. 3.CR - Prob. 41CRCh. 3.CR - Prob. 42CRCh. 3.CR - Let A and B be square matrices of order 4 such...Ch. 3.CR - Prob. 44CRCh. 3.CR - Prob. 45CRCh. 3.CR - Prob. 46CRCh. 3.CR - Prob. 47CRCh. 3.CR - Show that |a1111a1111a1111a|=(a+3)(a1)3Ch. 3.CR - Prob. 49CRCh. 3.CR - Prob. 50CRCh. 3.CR - Prob. 51CRCh. 3.CR - Prob. 52CRCh. 3.CR - Prob. 53CRCh. 3.CR - Prob. 54CRCh. 3.CR - Prob. 55CRCh. 3.CR - Prob. 56CRCh. 3.CR - Prob. 57CRCh. 3.CR - Prob. 58CRCh. 3.CR - Prob. 59CRCh. 3.CR - Prob. 60CRCh. 3.CR - Prob. 61CRCh. 3.CR - Prob. 62CRCh. 3.CR - Prob. 63CRCh. 3.CR - Prob. 64CRCh. 3.CR - Prob. 65CRCh. 3.CR - Using Cramers Rule In Exercises 65 and 66, use a...Ch. 3.CR - Prob. 67CRCh. 3.CR - Prob. 68CRCh. 3.CR - Prob. 69CRCh. 3.CR - Prob. 70CRCh. 3.CR - Prob. 71CRCh. 3.CR - Prob. 72CRCh. 3.CR - Prob. 73CRCh. 3.CR - Health Care Expenditures The table shows annual...Ch. 3.CR - Prob. 75CRCh. 3.CR - Prob. 76CRCh. 3.CR - True or False? In Exercises 75-78, determine...Ch. 3.CR - Prob. 78CRCh. 3.CM - Prob. 1CMCh. 3.CM - Prob. 2CMCh. 3.CM - In Exercises 3and4, use Gaussian elimination to...Ch. 3.CM - In Exercises 3and4, use Gaussian elimination to...Ch. 3.CM - Use a software program or a graphing utility to...Ch. 3.CM - Prob. 6CMCh. 3.CM - Solve the homogeneous linear system corresponding...Ch. 3.CM - Determine the values of k such that the system is...Ch. 3.CM - Solve for x and y in the matrix equation 2AB=I,...Ch. 3.CM - Find ATA for the matrix A=[531246]. Show that this...Ch. 3.CM - In Exercises 11-14, find the inverse of the matrix...Ch. 3.CM - In Exercises 11-14, find the inverse of the matrix...Ch. 3.CM - Prob. 13CMCh. 3.CM - In Exercises 11-14, find the inverse of the matrix...Ch. 3.CM - In Exercises 15 and 16, use an inverse matrix to...Ch. 3.CM - In Exercises 15 and 16, use an inverse matrix to...Ch. 3.CM - Find the sequence of the elementary matrices whose...Ch. 3.CM - Find the determinant of the matrix....Ch. 3.CM - Find a |A|, b |B|, c AB and d |AB| then verify...Ch. 3.CM - Find a |A| and b |A1| A=[523104682]Ch. 3.CM - If |A|=7 and A is of order 4. Then find each...Ch. 3.CM - Use the adjoint of A=[151021102] to find A1Ch. 3.CM - Let X1,X2,X3 and b be the column matrices below....Ch. 3.CM - Use a system of linear equation to find the...Ch. 3.CM - Use a determinant to find an equation of the line...Ch. 3.CM - Use a determinant to find the area of the triangle...Ch. 3.CM - Determine the currents I1I2 and I3 for the...Ch. 3.CM - A manufacture produce three models of a product...Ch. 3.CM - Prob. 29CM
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- You are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forwardPlane II is spanned by the vectors: - (2) · P² - (4) P1=2 P21 3 Subspace W is spanned by the vectors: 2 W1 - (9) · 1 W2 1 = (³)arrow_forwardshow that v3 = (−√3, −3, 3)⊤ is an eigenvector of M3 . Also here find the correspondingeigenvalue λ3 . Just from looking at M3 and its components, can you say something about the remaining twoeigenvalues? If so, what would you say? find v42 so that v4 = ( 2/5, v42, 1)⊤ is an eigenvector of M4 with corresp. eigenvalue λ4 = 45arrow_forward
- Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045. 2) Find Θ given sec Θ = 4.213. 3) Find Θ given cot Θ = 0.579. Solve the following three right triangles. B 21.0 34.6° ca 52.5 4)c 26° 5) A b 6) B 84.0 a 42° barrow_forwardQ1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N then dim M = dim N but the converse need not to be true. B: Let A and B two balanced subsets of a linear space X, show that whether An B and AUB are balanced sets or nor. Q2: Answer only two A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}. fe B:Show that every two norms on finite dimension linear space are equivalent C: Let f be a linear function from a normed space X in to a normed space Y, show that continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence (f(x)) converge to (f(x)) in Y. Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as normed space B: Let A be a finite dimension subspace of a Banach space X, show that A is closed. C: Show that every finite dimension normed space is Banach space.arrow_forward• Plane II is spanned by the vectors: P12 P2 = 1 • Subspace W is spanned by the vectors: W₁ = -- () · 2 1 W2 = 0arrow_forward
- Three streams - Stream A, Stream B, and Stream C - flow into a lake. The flow rates of these streams are not yet known and thus to be found. The combined water inflow from the streams is 300 m³/h. The rate of Stream A is three times the combined rates of Stream B and Stream C. The rate of Stream B is 50 m³/h less than half of the difference between the rates of Stream A and Stream C. Find the flow rates of the three streams by setting up an equation system Ax = b and solving it for x. Provide the values of A and b. Assuming that you get to an upper-triangular matrix U using an elimination matrix E such that U = E A, provide also the components of E.arrow_forwarddent Application X GA spinner is divided into five cox | + 9/26583471/4081d162951bfdf39e254aa2151384b7 A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below: Spinner Results Color Frequency Red 5 Blue 11 Green 18 Yellow 5 Purple 7 Based on these results, express the probability that the next spin will land on purple as a fraction in simplest form. Answer Attempt 1 out of 2 Submit Answer 0 Feb 12 10:11 Oarrow_forward2 5x + 2–49 2 x+10x+21arrow_forward
- 5x 2x+y+ 3x + 3y 4 6arrow_forwardCalculați (a-2023×b)²⁰²⁴arrow_forwardA student completed the problem below. Identify whether the student was correct or incorrect. Explain your reasoning. (identification 1 point; explanation 1 point) 4x 3x (x+7)(x+5)(x+7)(x-3) 4x (x-3) (x+7)(x+5) (x03) 3x (x+5) (x+7) (x-3)(x+5) 4x²-12x-3x²-15x (x+7) (x+5) (x-3) 2 × - 27x (x+7)(x+5) (x-3)arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305658004/9781305658004_smallCoverImage.gif)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:9781305658004
Author:Ron Larson
Publisher:Cengage Learning
![Text book image](https://www.bartleby.com/isbn_cover_images/9780998625720/9780998625720_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337282291/9781337282291_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
HOW TO FIND DETERMINANT OF 2X2 & 3X3 MATRICES?/MATRICES AND DETERMINANTS CLASS XII 12 CBSE; Author: Neha Agrawal Mathematically Inclined;https://www.youtube.com/watch?v=bnaKGsLYJvQ;License: Standard YouTube License, CC-BY
What are Determinants? Mathematics; Author: Edmerls;https://www.youtube.com/watch?v=v4_dxD4jpgM;License: Standard YouTube License, CC-BY