Let A and B be 4 x 4 matrices such that and det (B) = 5. det (A) = -3 Find the following. • det (BT) . • det (2A) • det (B³ A-¹)

Q: 3. (a) Solve the matrix equation for X: -1 0 1 1 2 1 1 -3 1 -1 3 1 -1

A: If Ais a m×n matrix and B is a n×p, then AB is m×p Hence here X is 2×3 Let X = abcdef Thus…

Q: Assuming that all matrices are n x n and invertible, solve for D. CABT DACTB = CAT.

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Q: Let A and B he two matrices of size 3 x 3 such that det(4) = 2 and det(B) = 3. Then det(38" A") = О…

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Q: Suppose A, B and C are 2 × 2 matrices with det(A) = 3, det(B) = -2, and det(C) = 2. Find…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: If A and B are invertible 4 × 4 matrices, which of the following statements are always true (i)…

A: To find the true statements of matruces

Q: 2. Let A and B be 4 × 4 matrices, with det (A) = 4 and det (B) = -3. Compute (a) det(AB) (b) det…

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Q: Which 2x2 among the matrices/matrix below satisfy(ies) X^2 -5X + 21 = 0 where I and O are the 2x2…

A: We have to find the matrix that satisfies the given equation.

Q: 3. Let A, B € Mnxn (F) be n x n matrices. (a) Prove that tr(A + B) = tr(A) + tr(B). (b) Prove that…

A: Trace of matrices is sum of its  diagonal entries

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: (a) If A and C arenxn matrices with C invertible, prove that: det (C-AC) = det(A). (b) Given that…

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Q: (1) Let A and B be two 2 × 2 matrices. Does det(A – B) = det(A) – det(B), explain your answer.

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Q: Solve for x, y, z, and win the matrix equation (X, Y, Z, W) wx 2 {]+=[xx]-

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Q: Question -x1 + 3x₂ = 2 2x₁ + x₂ + 4x3 = 3 x2 + 2x3 = 4 [A-¹|I], Find A-¹. (a) Using [IA] (b) Find…

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Q: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: Let A, B and C be 3x3 matrices with det(A) = 7, det(B) = 5 and det(C)= 6 find det(det(A).B'.C)…

A: It is given that detA=7,detB=5,detC=6 detdetAB-1C=det7×1detBadjBC=det76adjBC It is known that…

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: 1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4…

A: We have to match the given matrix with the function represented in the graph

Q: a) Let A and B be two regular (nonsingular) (n, n)-matrices. Determine whether the following is…

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Q: (12) Use the adjoint of matrix to find the third row fourth column element of the inverse of -1 1 4)…

A: Consider the given matrix as A=0-11432-21040110-11. The inverse of the matrix A is given by…

Q: 1 3 (b) If possible, express A = 2 3 product of elementary matrices.. as a

A: The given matrix is A=1323.

Q: [1 3 B = 2 1 5 0 A = 0 -5 4 and 3 8 QA + B'.

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Q: (2) Let A be 3x3 matrix with 4|| = 4 Find : (a) det(( 3 4 )²(2 4)') ) det( 2 A + 3 adj ( A ))

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