Find AB given the matrices * A = [, 31 [3 B = -4 2. [1 -2.

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) Give an example of matrices D and F where DF is defined, but FD is not, and clearly explain why…

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Q: For any 3x3 matrices A & B: Verify that (AB)" = B" A".

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Q: 2. А %3D [0.7 0.1 Lo.1 0.7

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

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Q: Show that AB and BA are not equal for the matrices

A: Given: The matrices are given as, Finding the value of AB by using matrix multiplication,

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: Show AB + BA for the indicated matrices. A= 2 3] B = -1

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Q: Show that AB and BA are not equal for the given matrices.

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Q: 2) Suppose that A and B are nxn matrices that satisfy AB=AB. Show that AB = AB.

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Q: Find two 3 x 3 matrices A and B such that det(A + B) + det(A) + det(B) Upload an image or PDF of…

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Q: 3. If A, B and C are matrices with orders, 3 X 3, 2 X 3 and 4 X 2, respectively, which of the…

A: Note: There are many subparts in the question. So I will answer the first three subparts.…

Q: Consider again 2 × 2 diagonal matrices: k 0 0 j If k, j ∈ {0, 1, 2, 3, ..., 9}, how many possible…

A: Given 2×2 diagonal matrix k00j k, j ∈0, 1, 2, 3, ..., 9

Q: Refer to the following matrices. -1 5 2 3 A = 2 -5 5 1 %3D 2 2 Compute 2A - 3B.

A: See the attachment

Q: Given the matrices below and that A = LU, complete L-1U-l,and A-1. 1 -6 -2 1 1. A = 1 -5 -5 L = 1 1…

A: Here we have,  A=1-6-21-5-5-4270, L=100110-431 , U=1-6-201-3001 Given:-  A=LU

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

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Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

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: Compute the indicated matrices, if possible .…

A: Given that, A=1235B=20-13-34

Q: Compute the indicated matrix by using the following matrices. [ 1 -4 1 -5 0 6 A = 3 C = B = 6. 6 -1…

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Q: Let A and B be n × n matrices. If AB = A then B is the identity matrix In. True or False

A: To write that true or false

Q: Show that AB and BA are not equal for the given matrices. -2 1 8 0 A = 0 6 -1 2 АВ ВА

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Q: 7. Give the two matrices, Г1 2 3] A = |1 1 2 and B= 0 1 2 [i 1 1] 2 1 2 3 1 2 (a) Find det A, det B,…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Show that AB and BA are not equal for the given matrices. 1 1 1 1 5 2 2 2 A = B = 1 1 1 1 2 5 АВ ВА

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Q: (b).Use the matrices а A d and 5 3 В 4 7 to illustrate Det AB Det BA det A. det B.

A: The matrix AB and  BA are:…

Q: Let A and B be two 4 × 4 matrices with rank(A)<4. Then rank(A²B)<4. Select one: O True O False

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Q: • The Matrix B from 3 × 2 at bj = 1 - is го 1. 2 2. 7 3. -1 4. 1 1 -2 2 3 4

A: concept of matrix  bij=1-i/j , the entries of matrix B is b11,b12,b21,b22,b31,b32

Q: Find 2 × 2 matrices A and B such that AB = O but BA ≠ O.

A: To Find: 2 x 2 matrices A and B such that AB = O but BA is not equal to O Here O is a zero matrix…

Q: Find nonzero 2 × 2 matrices A and B such that AB = O.

A: Consider

Q: Find two different 2 × 2 matrices A such that A2 = O .

A: Let A=abcd be the 2×2 matrix.

Q: If A and B are 3×3 invertible matrices, such that det(A)=2, det(B) =-2. Then det (ABA^T) = ???

A: To solve this problem, we use the standard result of matrix

Q: Find all a and 3 > 0 so that the matrix B = 23 6 2 is 2 ally dominant:

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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: Find three 2 × 2 matrices, A, B, and C such that AB = AC with B = C and A = O.

A: Consider the matrices A=0000,  B=1234  and  C=1234. Clearly, B = C and A = O.

Q: Show that AB and BA are not equal for the given matrices. -2 1 8 0 A = 0 5 -1 2 АВ ВА

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Q: If A and B are 3 × 3 matrices and detA=2 and det B = 4, find det (5A* BTΑ-)

A: See the details solution in below

Q: Are the two matrices similar? If so, find a matrix P such that B-P-AP. (If not possible, enter…

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Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: If A and B are nxn matrices such that AB = BA , show that (AB) = A²B² .

A: Suppose A  and  B be n×n matrix  such that AB=BA

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: Let A and B square matrices where detA=4 and detB=12. What is det(A-1B)?

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Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: If A and B are nXn matrices, then (AB)²=A²B? A True

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Q: Find two 2 × 2 matrices such that ∣A∣ + ∣B∣ = ∣A + B∣.

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Q: Consider the two matrices: 2 4 1 B= -5 A= -3 Compute A+ 3B. The result is equal to:

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Q: Create two 2 x 2 matrices A and B, to show that (A+ B)- A +B is not always true. Clearly write A, B,…

A: Give an example of 2 × 2 matrix, in which A + B-1 = A-1 + B-1 is wrong.

Q: . We can add (or subtract) two matrices only if they have thesame .

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Q: -0 의 B=[ 1 c=, 이1 1-0 1.where j--T, expres (a) Q3/B: If A = A.B, (b) B. C, (c) C.A and (d) A² in…

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Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Find two 2 × 2 matrices A such that A2 = O.

A: to find a matrix A