2. Consider the matrices [3 4 A= 2 -7 -1 8 [3 C = 2 -7 -1 2 -7 1 8 1 5 4 1 B = 2 -7 -1 1 4 1 3 Find elementary matrices E1, E2, E3 and Ē4 such that (a) E¡A = B (b) E2В 3 А (c) E3A = C (d) Е,С — А

Q: [5 Consider matrices A =9 -11 11 and B =|0 -1] Two elementary matrices -4 c) 2. 8. 4 1 -1 3 -4 2. E…

A:

Q: Which of the following matrices is not in row echelon form? Ti –2 3 77 0 150 0 001 A 1 -1 6 5 97 0…

A:

Q: Given the matrix below and its corresponding rref(A) and rref(A') 1 0 0 0 -2 8 -1 -3 100 0 0 0 10 0…

A:

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: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on.a 3 x 3…

A:

Q: (19) Calculate the products AD and BD for 1 Го 1 2 A = | 1 1 1 B = 3 4 5 and D = 3 1 1 7 8 -5 What…

A: Given matrix is : A=111111111B=012345678D=20003000-5 To find the value of AD and BD

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 1 come up with two matrices D and C such that DA CA but D (b) For A C. 6 2

A: The given matric,

Q: Given the matrices below and that A = LU, complete L-1,U-l¸and A-1. 1 5 -1" U = |0 1 0 0 1 5 1 A =…

A: Given matrix L as  L=100-610421 to find the inverse L-1 proceed as follows  L=100-610421100010001…

Q: Which of the following matrices is invertible? 10 -15 -2 3 388 0 329 -2 4-6 -6 1 -18] 0 2 3 -2 04 6…

A:

Q: Given the matrices below and that A = LU, solve Ax = b. 1 3 4 A = -3 -8 -16 b= 1 1 13 25 1 3 4 U =…

A: We have to solve given problem:

Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

A:

Q: If C and D are two n x n invertible matrices, then one of the following is always correct a) (DC)¬l…

A: Use property of matrix

Q: Consider the following 3 x 3 matrix: a -1//2 1/V3 1//2 1//3 c. -1//3 where a, b, c E R. How many 3 x…

A:

Q: 2. Consider the matrices [2 -1 [2 0 D= |1 4 5 4 3 and F= |0 1 1 2 (a) Show that A, B, C, D and F are…

A:

Q: 3. Show that A and B are not similar matrices. [1 A = 0 2 1 -1 Lo 14.8= [2 1 1] 1 0 L2 0 1 ,B= 0

A:

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: Suppose A and B are 3x3 matrices with det A = 2 and det B = -3. Find det(2BTA-B).

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: Let A, B, C be (3 x 3) matrices, such that det(A) = 2, det(B) = 7, det(C) = 1. What is the value of…

A:

Q: 2) Consider the matrices A= (;) (2) and B= (! %3D -/ 2 Calculate 2A +3B, AR, C0o d BA

A:

Q: Select the pair of matrices, A and B , for which AB = 0, even though A + 0 and B 0. 6 4 1 -1 O A =…

A:

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A" A-1)?

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: ()- 40 0 0 3 0 0 0 4 300 1 4 0 5 0 4 (4) Consider the following 2 matrices: A = and B Then A is…

A:

Q: In which of the following reduced augmented matrices is the number of leftmost ones less than the…

A: Calculation:The following observations are made from the given augmented matrices.The matrix A has 3…

Q: Given the matrices below and that A = LU, complete L-1, U-1, and A-1, 1 -3 -2 1 -3 -2 A -5 16 12 L =…

A: Given The given matrices are A=1-3-2-516121-4-3 L=100-5101-11 U=1-3-2012001 For the inverse matrix,…

Q: 6.- For the matrices [A] g 3 -2 4 -2; [A] =-5 3 3 2 3

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: Match the two matrices A, B with their product AB. i Instructions 1 0 2 6 7 4 3 4 5 -3 9 0 6 1 [1 -2…

A: Match the two matrices A, B with their product AB.

Q: 3 1 2 Compute the adjoint matrix of A - 322 3 Select one: -1 -2 a. -7 7 9. 4. -5 3 1. 71 O b. -7 7.…

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Q: If A and B are two n x n invertible matrices, then one of the following is always correct a) (AB)" =…

A:

Q: 1 2 Compute the adjoint matrix of A 3 2 2 2 3 Select one: a. -7 4 -5 7 -7 -5 3 -1 -2 %3D -7 -5 41 d.…

A: We have given a matrix and we have to find the adjoint of A.

Q: If AB=AC, where A, B, and C are matrices, then this implies that B=C. O True O False

A: A-1A = A A-1 = I  Where A-1 = Inverse of A               I = Identity matrix

Q: 7. Suppose that A & B are n x n matrices and AB B then: A. A I B. A Iif B nonsingular C. B AB D. B =…

A: If A and B are two n×n matrices such that  AB=B , this means that A=I(identity matrix) Otherwise it…

Q: Consider the matrices 1 0 0 0 0 1 1 1 A 2 0 0 1 0 0 B = 0 0 1 1 1 0 0 0 1 18 5 1 -7 8 C = 0 0 1 0 0…

A: We know, a matrix is in reduced row echelon form(rref) if, 1)In each row first non zero term should…

Q: 2. Determine the products C = AB and D = BA if 4 -7 -5 1 -9 -1 3 -5 2 7 6 A = B -13 -4 -3 11…

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Q: Given the matrices below and that A = LU, complete L¬1,U-1, and A-1. 1 -2 -1 1 01 -2 -1° A= 2 -3 -5…

A: We use Gauss elimination method to find L-1, and U-1. After that by using (LU)-1=U-1L-1, we find…

Q: Given the matrices below and that A = LU, complete L-1,U-1,and A-1 1 0 0 L = |1 1 1 4 -1 1 4 A = 1…

A: Given that A=14-115-6213-26 and A=LU where L=100110251 and U=14-101-5001

Q: Given the matrix below and its corresponding rref(A) and rref(A') 10 0 0 -2 8 -1 -3 10 0 0 0 0 10 0…

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Q: ریاضيات هندسية )1( نظري 3 1 Compute the adjoint matrix of A: 3 2 2 1 2 3 Select one: 4 a. -7 0. 4 -5…

A:

Q: Consider the following two matrices: -1 4 1 A = 1 В — 3 1 0. - 3 -1 -2 1 Which of the following four…

A: Given matrices are: A=-142-130 and B=210310-1-21 We know that product of two matrices exists if the…

Q: Consider the following two matrices: -2 1 C = 7 -1 2 3 %D %3D 3 -2 1 Which of the following four…

A: We have the matrices C=-207-103 and the matrix D=-1102030-21 If a matrix has m rows and n columns…

Q: 17 - Which of the equations given below on the multiplyability of the matrices shown with their…

A:

Q: 3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = }, then Det(24)-(4B…

A: (3).  Given: A is 4×4 matrix.Det(A)=-3Det(B)=32

Q: Show that AB and BA are not equal for the given matrices. 1 1 4 B = 1 1 4 4 A = 1 1 4 5 1 1 4 4

A:

Q: Consider the matrices 0 10 A = t -2 8 -6 B = 3 k -11 -2 8k C = 4 9 -7t with t,kER. The result of…

A: topic - matrices

Q: If the given 6x6 matrix, A = 41x 152x 3 5 2x 7 -6 5 -11x 1 -1 6x 37x 3x 10 -13x 9x 11 12 13 7 42 13…

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Q: Let A, B, C and D be the matrices defined below: 0 -2 √√3 A: +-67²- | √3 0 -2 2 3 0 (a) Compute det…

A: We have given matricesA=0-230, B=0-2330-2230, C=0-10-102+1-102, D=01-20300100-10-1000

Q: One of the following matrices is not invertible 4 2 9 1 0 03 7 4 1 a) 0 0 54 b) 5 6 0 0 0 6 2777 40…

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Q: Suppose A is a 3 x 3 diagonalizable matrix that diagonalizes to D. If i and w are both non-zero,…

A: We will find out the required possible representation of matrix D.

Q: 1. Consider the matrices: 4 A = 1 B = 2 Compute the following: (a) (AB)-1 + BA, (b) BC – IBC

A: Given: A=40-12, B=1012, C=1-112