8.5.13. Write out the spectral factorization of the following matrices: 10 (-) (-33). (b) (-² -1). (Ⓒ) (121) 4 0 1 (d) 3 -1 20 In

Q: (d) 0 -1 1 00 001 - and 10 0 i 00 i

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Q: 1.- Given the following matrices [A] and [B], carry out the indicated operations: 2 -1 [2 -1 31 3…

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

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

Q: 9. Find the inverse of each matrix or determine the matrix is not invertible. [83] (a) (b) [3] 2 1…

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Q: (a) What are the five 2 by 2 reduced matrices R whose entries are all O's and 1's?(b) What are the…

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Q: . Perform the matrix operation [1 2 -2 5-4 L6 0 7 1 +8[1 2] 1 4

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Q: -1 Consider the matrices A = 4. B = -1 Compute ((BA)' ) if possible. Type unde fined if you think…

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Q: 4. If G is a 3 x 1 matrix while H is a 1 x 3 matrix then A. GH is 3 x 3, HG is 1 x 1. B. GH is 1 x…

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Q: Find inverse matrix of the following matrices [ 1234;0 5 7 9;-2 4 - 8 5; 10 6 6 7]

A: We have to find the inverse Matrix .

Q: Find the QR factorizations of the given matrices: [211 a. A =

A: So, Answering question a.

Q: 1. Consider the following matrices: (b) [2 0 1 -2 ------# C= 1 3 D= 3 2 0 -1 -1 (c) A = 53 Evaluate,…

A: Consider the following matrices.To evaluate the following:

Q: 1. b) Find the Inverse of the matrix 1 2. 1 using Gauss-Jordan method. 1 1. 2]

A: Augment the given matrix with identity matrix. Apply row operations to convert given matrix into…

Q: 5. Compute the determinant of 27 10 -27 35 3 -8 11 A = 14 -14 -5 -18 - -3 4 Does the inverse matrix…

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Q: 6. In each of the following, find the matrices X and D such that A = XDX-1, and D is diagonal: (a)…

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Q: Let M, N and K be matrices of type 3 x 2, 2 x 3 and 3 x 3 respectively, such that det(MN) = 2 and…

A: Determinant properties help to find the determinant of the given matrix. Determinant property for…

Q: 4. Find the determinate of [A]. 3 2 [4]= -3 -10 -3 -10 10

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Q: Compute (a) llAll2 and (b) cond2(A) for the indicated matrix.

A: Given matrix: A=01102-2 To find: ||A||2  and cond2(A)

Q: -). Perform the following matrix multiplication: [5 2] 6 [1 2 12 -1 Lo 0 41 7 2. 7 1 4.

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Q: 3 1.2 Given X = =[-³₁₁³] and Y = [-23 19]. 0 show that (X-Y)(X+Y) # x² - y²

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Q: 6.- For the matrices [A] g 3 -2 4 -2; [A] =-5 3 3 2 3

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: 3. The following matrices are elementary matrices except (a) 1 0 1 0 (b) 5 1 (3 (c) 1 (d) -3 -

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Q: -3 -8 4

A: here we find the inverse of the matrix by  A=IA

Q: 1-2 3-12 -5 12-14 19 (h) -9 22-20 31 -4 9-14 15

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Q: Use the adjoint method to determine the inverse of the coefficient matrix given by [2 3 1 A=3 4 1 l3…

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Q: B-9- and Construct a matrix for which N(A) = all combinations of 9. 9. 9. 9. 9. 9. 9. Construct a…

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Q: Calculate whether the given matrices are diagonalizable or not. That is, for each matrix, calculate…

A: We will use the fact if the eugen values of a matrix are distinct then the matrix is diagonalizable.

Q: 3. Find the indicated matrix product or state that the product is undefined. 52 A = [3]. B = [-53]…

A: Given matrices are          A = 99  and B = 52-63    So A is 2×1 matrix and B is 2 × 2 matrix .

Q: 5. diagonalize the following matrices, if possible. 4. 2 2 2 4 3 -1 -2 (1) (2)

A: In this question we analysed by geometric and algebraic multiplicity. If they are equal for each…

Q: 9. Show that the matrices ( ) ( ) (19). generate M₂×2(F). and (689)

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Q: 7). Find the inverse of the following two matrix 2 4 3 3 1 -5 2 -1 1 -2

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