Consider M = | 0 2 0 . Use the Cayley Hamilton theorem to find (M +4I)-1 where %3D 2 0 1 I is the 3 x 3 identity matrix, working over Z5. (а) 4M? + 3М +І (b) ма + 3М +21 (c) M² + M + I (d) 3M² + 4M + I (е) М2 + 2М + 31

Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

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Q: Find all minors and cofactors of the matrix. -1 32 6 54 2-1 3,

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Q: Use LU decomposition to determine the matrix inverse for the following system 10х, + 2х, — хз%3D27…

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A: In this question, we have to find real non zero 2 by 2 matrices A, B, C, D and E by trial and error…

Q: Find the matrix A (in terms of B and C ) if (ЗАТ + 4СТВ)Т3 5A - 4B

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Q: r3 5 0 3 9 4 0 01 2 5 9. c.7 9. 7 6 8 8 3 4 6 8 0

A: A 5×5 matrix is given by, A = 3403050259739594687660883. The objective is to find the determinant of…

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Q: -5 A = B = -6 0 -3 2 Compute -A + 3B. The result is equal to:

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Q: 1. Find the inverse of each matrix using the adjoint matrix. (2 1 5) b) B = 3 0 1 1 2 1 (2 -5 -3 a)…

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

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Q: The complementary function(C.F.) of the differential equation(D- 4) y = cos 4r is O (Ci +c21+ czz2)e…

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Q: c. Multiply out the following expression and simplify where possible. (ВА + B) (A-1 + в-1)

A: Expression to be simplified is (BA+B)(A-1+B-1)

Q: Find a 2 x 2 matrix such that [3]==1] (incorrect) 4 -2 -2 Answer(s) submitted: C

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Q: Statement: "Let A and B be n x n matrices, where the columns of A span IR" and B is not equal to the…

A: The given statement is false.

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

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Q: Find (3) BA + (4)AC, if possible что 2 O - 3] B=√₁ A.) (3) BA+ (Y)A(=[ A = -2 -3 3 O 1 O 1 -10 C =…

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Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.

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Q: determine the diagonalizing matrix: X1 = λαι X2 + X3 = λχη – X2 + X3 = λx3

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Q: X1+ X2 + 2X3 — 5Х4 %3D 3 - 2X1 + 5X2 – X3 – 9X4 = -3 2X1+ X2 — Хз — 3Х4 %3D —11 X1 – 3X2 + 2X3 + 7X4…

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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: -Ч О 2 N T 1 - 4 0 О 1 -4 1 7 N О 1 -ч Ti Та Тз ти II 120 -130 -че -30

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