Find a matrix P that diagonalizes A, and compute P'AP . 3 0 -1 0 4 0 0 A = 4 Enter the following as matrices, find the P with the smallest possible integer values that fits with the partial matrix below Complete the answer for P. P = 1 1 Find the inverse of P and the matrix product below, enter as matrices.

Q: 1 3 -4 2 0 0 0 0 0 0 0 0 -1 6. 1 -3 7 1 4 -3 0 0

A: Remark:  We know that the maximum number of linearly independent vectors in a matrix is equal to the…

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Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

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Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

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Q: -2 1 2 1

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Q: A=(41] [4] ( )= (-1) [₂] + (3) [₂] 2

A: Matrix multiplication is possible if we have two matrices A and B such that, order of A =m×n;order…

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Q: 31 The function f(x) = x sin x satisfies the following equation: f"(x) + f(x) + t cosx = 0. The…

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Q: Find the QR factorization of the matrix   Please show all work

A: The given problem is to find the qr factorization for the given matrix. Given matrix [0 1 1 ; 1 0 1…

Q: (1 2 1 -1 1 0 0 A = 0 2 0 0 -1 1 1 1 0

A: We have to find the inverse of the given matrix A. We know that the inverse of the matrix A is…

Q: 5. Determine the value of W, X, Y and Z for the given matrix and its inverse -1 -4 B = X |-5 Y 6 7 Z…

A: Please see the explanation below

Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

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Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

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Q: Find the trace of the matrix 3 A 2 -2 tr(A)

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Q: Let matrices A,B,C store factory value of 3 items for the last 20 years, and D,E,F store sale value…

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Q: Express the matrix A-¹ as a product of elementary matrices using In= EkEk-1...E₁A. 100 220 313 A =

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