-1 1. The inverse of a nonsingular matrix A is the matrix 0 0 Which of the following 1 -1 0. matrices is equal to A? (1 100) 1 -1 -1 1 -1 0 (1 1 11 0110 (a) 0011 -1 -1 (c) 1 -1 1 01 (b) 01 0111 (d) 0011 -- 1 -1 000 1 00 0 1

Q: -1 M = 1 0 -2 L0 1 -3 | Which one of the following expressions evaluates to the matrix (M – I)-1…

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Q: 2. Determine the inverse of the matrix. -5 4 -4] 6. A = 1 1 1 -2 -9 3 2 8 -1

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Q: Show that matrices A and B = are inverses of each 2 3 other.

A: See the details solution in below

Q: 4. Consider the matrix 1 0 0 0 0 0 -2a -a (a² + a) 0 (2-a²) - (2-a²) -2a (2-a²) 2+ 4a - a² Find all…

A: 4) Solution:According to the given data, find the all values of a for which given matrix is psd.

Q: の A。 -6 -2 a/ifit is A=, the inverseof -2 4- -1 the matrix A evenness ① ペッ「% -1/5 のベン「% 1407 1/10…

A: We can find the inverse matrix as below

Q: Find the power of A for the matrix A = A16 = -1 000 0 0 1 0 0 0 00-1 0 0 000 1 0 0000 -1 00081 00000…

A: We have to solve above matrix question

Q: 4]         [8   7]      [7   2]             +               - [-4  6]         [8   8]      [3   4]…

A: Given expression is: 14−46+8788−7234

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: what value is in the 2nd row 2nd column of V x 3Q [3 4 -31 Г2 3 V = |0 -1 Q = 18 5 %3D 12 -2 1 1 5…

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Q: 121 A= 4 4 5 677 B = -7-76 21-1 45-4 Are these matrices imerses of each other?

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Q: Express the inverse of the following matrix (assuming it exists) as a matrix containing expressions…

A: Solution : Given that the matrix 118-16-1k0-2-24

Q: ; = \57 -77 -80/ В — 42 72 75 4 288 -82 -1 4 а. Find B-1

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Q: Find the matrix inverse of B = 3 -7 == 1 1 -4 13 1 1 B B-1 B-1 = = 13 -13 [1 4 01 1 1 1 1 1 7 1 -8 4…

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Q: Consider the following 2 x 2 matrix -5 A = 3. For any matrix, we have a clear understanding of some…

A: Given the matrix: A=−536−2 (a) To calculate the eigenvalues and eigenvectors of A.

Q: Find the inverse of the matrix The inverse is A = 2 0 -6 -37 -1 -2 -8 7 - --888 =

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Q: Element (1,2) of the inverse of the matrix is

A: Solution: The objective is to find the element (1,2) of the inverse of the matrix

Q: iagonalize the following matrix: 21 4 1-4 31 -1 24001₁ 111-12 C - 0

A: A matrix is diagonalizable if A.m. of each eigen value = g.m. of corresponding eigen value

Q: Compute the inverse of the following matrix 1 -3 5 10 4 7 0 6 -8

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Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

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Q: 2 1. -1 2 1. Matrix +2 Matrix -1 3 1.

A: The given matrix,        21-13+2-1211

Q: [2 -3 -47 The matrix product 2 4 [0 1 5 1

A: Given : 2-3-4015 . 3-12401

Q: <= [-5 1 is the product X = E₁ E₂E3 of elementary matrices E₁, E2, E3, find -5 35 E₁ = If x= 03-894…

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Q: Diagonalize the following matrix: 1 13 5 7 -5 -7 -1 -1 7 90 06 0 00-12 060 − 1 1 − 1| -1 0 1 1 10 1…

A: Given matrix 11357-5-7-1-17

Q: Suppose that A and B are invertible n x n matrices. Which of the following statements is true. A.…

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Q: Find the inverse of the matrix 3 0 2 -1 1 A= -2 -3 1 1 글 0 를 글 0 를 0 글 1 1 0 글 를 0 글 1/2 1. 112 112…

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Q: How to make this matrix diagonally dominant?

A: A square matrix is said to be diagonally dominant if for every row of the matrix, the magnitude of…

Q: 1. For the given matrices A find A-¹ if it exists and verify that AA-¹ = A-¹A=I. If A-¹ does not…

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Q: 9. Find the inverse of the matrix 0 0 k₁ 0 0 k, 0 3 0 0 k₁ 0 0 k₂ 0 0

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Q: Q5: Write the following as a product of elementary matrices. 8 00 1 1 -2 (а) |0 -3 1 0] 0 2 0 5 0 20…

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Q: Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it.…

A: Remark:  Let a be an m*n matrix, then a(:, p) gives  sub-matrix of order m*1 with elements of p-th…

Q: Use the inverse matrices to find (AB)¯¹, (A7)¯¹, and (24)¯¹. 1 1 1 2 2 1 3 1 244 A-1 = (a) -2 1 3 2…

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Q: Let 0. A = |0 -11 -6 1 Write A as a product of elementary matrices. 2. 4)

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