Let A be a 4 x 4 matrix with |adj(A) = -8, then 2A.adj(2A) - (where 1, is 4 x 4 identity matrix) Select one: a. -32(14) b. -16(/4)

Q: Find the inverse of the matrix if it exists.

A: Given the matrix: 121354

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A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

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A: Consider the provided matrix, A=10-2   31-2   -5-19 Find the inverse of the matrix. First, we write…

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A: Necessary conditions for a 2*2 matrix to have an inverse matrix.

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A: False

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Q: 4. Determine ij, iz and iz by using the Inverse Matrix Method.

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A: We have to check

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Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

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A: Please check step 2 for the solution.

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A: Given  The  A  is a nonsingular matrix  whose inverse is 2141.

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Q: Find the inverse of the matrix (if it exists).

A: Now determinant A is,

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Q: Find inverse matrix using Gauss - Jordan Method if available 1 -2 4 0 8 -3 -4] A = 2 -1 ||

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Q: [2 Given the matrix

A: As per the instructions, we will be solving only the first question. We will be solving 2131xy=21.…

Q: Find inverse matrix using Gauss - Jordan Method if available [3 2 -1] A = 6 2 [5 0 1

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Q: a) (11-1) If A = 0 -2 3 001 , Show that A² = −4+27, where is the identity matrix.

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Q: 3 (i);- 2

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

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Q: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

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Q: Find the matrix B such that 2AT+3B=0.

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Q: Find the inverse of the matrix and verify that A-!A = AA1- 1. 4--10 A 3D 2. 8. A-1 Show My Work…

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Q: Find an LU factorization for the matrix: 1 2 1 2 1 2 -2 0 1

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Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…

Q: Let A be an n xn matrix and B= A+1, where I is the identity matrix, then it is possible for A and B…

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Q: Let A be a 4 x 4 matrix with ladj(A)l = -8 , then 2A.adj(2A) = (where l4 is 4 x 4 identity matrix)…

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Q: Compute the matrix exponential e At for the following system x' = Ax. x'1 = 6x1 - 2x2, x'2 = 2x, +X2…

A: Step:-1 Note:- If A is diagonalizable matrix that is,  there exist an invertible matrix P and a…