Let [5 -3] A = [1 -3 – 2k] В — k 6+ 5k Find the elementary matrices E, and E2such that B = E2E¸A. Check your answer.

Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: b. -2x+y+6z=18 5x+8 z=-16 3x+2y=10z-3 Write the entries in the inverse matrix as fractions.

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Q: Let A be an n × n matrix. Is it possible for A2+I = O in the case where n is odd? Answer the same…

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Q: t matrix B= 5-21 4-2 what is The 2. 3. 1-12 -12 reduced Yow echelon form of 6 B.

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Q: Suppose A and B are invertible 1 x n matrices. Check all the true statements below. ABB÷¹A = AI„ A =…

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Q: [3] 37 Let A = Write 2A. Is det(2A) equal to 2det(A)?

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

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Q: Find the matrices of x and y if. 2x- y = [ -6 3 2 I and x+2y = 1

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Q: |adjA| = |A]"=1 n-1

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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: use the following matrix                    D=   [5  3]         D=  [4   6]  write the negative…

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Q: Find the matrix A if 4 1     −1 3A =  3 4     1 2. A =

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Q: Given the matrices A and B, determine the quantity 2A - B. A = and B - 1 1 (244) 1 1 (² (2₂ 3 -3 3 4…

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Q: Let A and B be 4 x 4 matrices. Suppose that |A| = 2 and |B| = 9. Write down the value of…

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Q: 5 k A = -9 -1 have one real eigenvalue of multiplicity 2? k = 2/9

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Q: 2 B= [11] 3 -1 Write B and B-¹ as products of elementary matrices.

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Q: Suppose A is an n x n matrix with A² = A. Show (I – 2A)−¹ = I — 2A.

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Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

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Q: Show that the matrix TR2 is the inverse matrix of (R-1)²T-1.

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Q: Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. OC. O d.…

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: Use the matrices 3r 0. 3. 0. B = 9. 4y -2 G = -8 C = and E = -q 8 -1 -7 -2z -3 to compute the…

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Q: Find the inverse of the matrix, if it exists. A = Cmatrix ((0 -1)(-3 6)) Select one: [-1 0 O B. -1…

A: To find inverse of the matrix.

Q: Let A = [₁1] Find all 2x2 matrices B st AB=BA

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Q: Find the LU factorization of the following matrix: |2     0   0| |0   −3   1| |10  12  3|

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Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

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Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

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