Perform the indicated computations when possible, using the matrices given below. (If an answer does not exist, enter DNE into any single cell.) 5 0 1 6 -5 A = B = C = E = -2 1 -3 2 -1 3 3 0 2 6 (a) A3 (b) вст (c) EC + I3

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A: Elementary matrix are obtained from Identity matrix using elementary row operation on Indentity…

Q: find an elementary matrix E that satisfies the given equation EC = D

A:

Q: Perform the indicated computations when possible, using the matrices given below. (If an answer does…

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Q: Carry out the indicated algebraic operation. (If not possible, enter IMPOSSIBLE in any cell of the…

A: Given that G=0-6-1-10-4-8-355, F=100010001, E=120

Q: Find an example that meets the given specifications. 3 x 3 matrices A and B such that AB ± BA 0 0 0…

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Q: Given the matrices below and that A = LU, solve Ax = b. 1 -2 -3 11 A = -3 -7 b = 33 -4 9 12 –39 [i…

A: We use LU-decomposition method to find the value of x.

Q: 5. Consider the matrix 3 -1 3 0 0 1 0 A = 1 2 (a) Find A-1, the inverse matrix of A by using your…

A:

Q: Express A as the product of elementary matrices where A = 3     4        2     1

A: Solution Given A=3421We need to find the product of elementary matrices

Q: Which of the matrices 1 1 1 01 1 E = 2 -5 E2 = 1 Ez = E4 = -2 1 -6 1. 1 1 are elementary matrices?…

A: The elementary matrix is the matrix obtained from the identity matrix using the elementary row…

Q: §3.7, Exercise 4. Let A, B,C be general n x n matrices. Simplify the expres- sion…

A: The given expression is A-1BA-1-1CB-1-1. Note that, if P, Q are invertible matrices, then we have…

Q: 2 -1 B= 4 5 2 2 5 Let A= 3 7 4 3 8 Find the matrix D such that CD-AB=0.

A: We have to find matrix D

Q: (a) Write down two 2 x 2 non-zero matrices A and B such that AB = 0, the 2 × 2 zero matrix. 3 4]…

A:

Q: 9. Solve the matrix equation C-A(X - B) = D for X. Note that A, B,C, D, and X are all n x n…

A: Explanation of the answer is as follows

Q: Express A and A-1 as a product of elementary matrices. 0 5] A = 0 1 6 1 0 3] [1 0 5] 0 31

A: Here in the given question matrix A is given and objective is to express A and A-1 as  a product of…

Q: Perform the indicated computations when possible, using the matrices given below. (If an answer does…

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Q: Compare (AB) 1 to B 'A for the matrices below. 2 1 4 9 A = B 11 1 2

A:

Q: 13. Find matrices A so that a. A +0, but A² = 0 b. A? + 0, but A³ = O Can you make a conjecture…

A: First we will find matrix which for each case a. and b. then we will try to make a conjecture on the…

Q: An identity matrix is represented by.. O a. HH-1 O b. H-H Oc HH-H

A: Identity Matrix is the matrix which is n × n square matrix where the diagonal consist of ones and…

Q: 9. Solve the matrix equation C-A(X B) = D for X. Note that A, B, C, D, and X are all n x n…

A:

Q: 3. On the basis of the matrices given in Example 9, is the product BA defined? If so, calculate the…

A: Matrix multiplication: Let us consider two matrix A and B  of order m x n and p x q  then the matrix…

Q: 7. For a matrix B= 1 0 0 1 -1 0 5-1 -3 find B¹ by using the Cayley-Hamilton theorem.

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Q: Q3: Express A and A-1 as a product of elementary matrices. [1 0 5] A = 0 1 6 li o 3]

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Q: (A8)", (^)*, * (21)*". Use the inverse matrices to find and 1 3 1 4 2. 4 2 A-1 = 1 1 B-1 2 4 2 4 3 1…

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Q: If you multiply this elementary matrix: [1 0 0 0] 0 1 0 0 0 0 1 0 E 0 0 0 2 by A to form EA, it has…

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Q: 7. Find values for x and y that will make the matrices equal. X = y = T AM H. 1 x+y 3+x 3. 4 -2 5y…

A:

Q: 2. Given the matrix A below, Solve for IAI-¹ A = 1 2 2 1 -1 3 4 6 3 5 2 -3 -3 8 7 4.

A: We have , A = 123424681357-12-34 We need to find , A-1 To find the inverse of matrix , augment it…

Q: 3: Express A and A-1 as a product of elementary matrices [1 0 51 A = 0 1 6 li 0 3] 1

A:

Q: Let A, B be 4 x 4 matrices. Find two matrices so that rank(A) = rank(B) = 2 and rank(AB) = 1. A = B…

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Q: Using the matrices. [1 0 1 R1 = 0 1 1 li o 1 [1 1 1] R2= 1 0 1 li 1 Find the matrix that represents…

A: Use the given matrices.

Q: #5) Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) a. -5…

A:

Q: [1 Find a matrix A = -4 -51 = l3. y] 1 z such that A² 10 %3D Lo 1. Lo

A: Given A=1xy01z001 A2-0-4-50010000=I3 To find Matrix A:

Q: Which of the following is an elementary matrix? 1 0 1 В. 1 C. 0 0 1 A. 5 1

A: Given : Matrices A.  10-51 B. -5110 C. 110001000 D. 2002010000100001   To find : Which of the…

Q: By simple observation find the product of the three matrices. Explain. 0] [1 1 0 0 0 0 0 0 [ 2 0 1 3…

A: The matrix multiplication is possible only if the number of columns of the first matrix is equal to…

Q: 1. Are the following matrices diagonalisable? Explain your answer. 2 0 50 1] a) A =-2 3 -1 -2 0 3 c)…

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: 2] find 1 -1 3 - If A = and B 1 |3| -2 (а) ЗА — В. - (b) The matrix X such that 3A – B+ 3X = 0. ||…

A: As per guideline we have to solve only three parts

Q: 4. Find the inverse matrix of A (A-1) 3 1 10 A= 2 5 4 -1 -3 1

A:

Q: [4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 4. Verify whether the two given matrices are similar. Justify your answers Question a. [:] 1 1 3 1 A…

A: …

Q: a) Suppose that A and B are 4 x 4 matrices, det(A) = 2 and det((3ATB)-¹) = . Calculate det(B). b)…

A: As per our company guideline we are supposed to answer only one question kindly post remaining…

Q: Find the inverse of the matrix 0 1] a) 2 b) c) OA OB OD OC 1|3 WIN 0 1 2 1 3 2. 0 3 0 1 3 2 0 using…

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Q: Which one of the following is not a diagonal matrix? .a 3 0 0 0 4 0 0 0 5 .b -1 0 0 0 3 0 -6 .C -5 0…

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Q: Find an example that meets the given specifications. 3 x 3 matrices A and B such that AB ± BA 0 0 0…

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Q: Find an LU factorization of the matrix A. 3 -1 3) A- - 18 1 0][ 3 1 A) A= B) A = 10 3 -1 0-3 -6 1 0…

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Q: [2 0 01 Let A = 1 2 1 lo 1 21 Find two matrices that are similar to matrix A.

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Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: Find if possible the matrices: a. AB   b. BA.

A: The matrices A=426135 and B=234-1-20. Then we have to find AB and BA.

Q: Find if possible the matrices: a. AB   b. BA.

A: Given:A=2-31-111-21 B=12-1154105

Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

A: