For each of the following matrices, find (if possible) an invertible matrix P and a diagonal matrix D such that D = P-1AP. Otherwise, explain why A is not diagonalizable. [-1 2-1] ܘ ܘ -3 1 0 2 го 4. 1 о 1 0 0 -1 0 07

Q: Is the matrix A = 1|2 TILL -1 1 1 -1 -1 1 1 -1 1 1 -1 is orthogonal matrix.

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A: This problem is related to the vector algebra. The problem is solved in the following image.

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A: (a) The given matrix is A=21-12 (b) The given matrices are A=1302, B=12-12 (c) The given matrix is…

Q: Use the matrix P to determine if the matrices A and A' are similar. p-1 P = 700 050 7 A = 10 14 0 50…

A: STEP 1: To determine if matrices A and A′ are similar, we need to check if there exists an…

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Q: メ= P 10 a Cす ナ イイ イ2 9イ 213 913 イイ 15 b/4 6. m 16 17 18 c/7

A: The matrix multiplication of two matrices: A=[aij]m×n and B=[aij]p×q will result in the following…

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A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: 2 (1 2 3 B =25 3 108 C = 2 -1 0 -4

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Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

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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

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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: -1 Suppose A, B, C, X are invertible n x n matrices. Solve the matrix equation C(B1X) = (B-²C-1) B²…

A: If A and B are nxn invertiable matrices then(AB)-1=B-1A-1