1 - 2 0 -2 5. Let A = −2 2 0 diagonal matrix. -2 3 find an orthogonal matrix P such that P¹AP is a

Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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Q: For which values of the constants b and c is the follow- ing matrix invertible? 1 b -1 -b

A: The given matrix is 01b-10c-b-c0

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and…

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Q: Diagonalize the given matrix A and hence find A². 10 -2 -5] 2 3 3 5 A = -2 -5

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Q: (470) Find the matrix A if A 1

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Q: = Complete the following truth table. Use T for true and F for false. You may add more columns, but…

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Q: c. Find an orthogonal diagonalization of the symmetric matrix 1 -2 0 A = -2 1 4

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Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

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Q: Let A and B be invertible 5-square matrices such that A| = 4 and B = 2. Then |2A. B 2 %3D

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Q: Let A = [ 9-8 4-3 Find an invertible matrix X such that X-¹AX is diagonal.

A: Introduction: A matrix A of dimension n x n is called invertible if and only if there exists…

Q: -2 1 2 1

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Q: Let A = P = [-25 4 -19 4 4 8 4 8 . Find an orthogonal matrix P with rational entries and a diagonal…

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Q: 4s – r – 5t - (2r + 5s + 3t) - 4t – (4r + 4s) - 5s – 3r + 3t vith r, s andt real. Find a matrix A…

A: given W=4s-r-5t-2r+5s+3t4t-4r+4s5s-3r+3t with r,s,t ∈ℝ find a matrix A such that W=ColA

Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: -6 7 3 Let A = -5 6 3 Find an 5 -7 -4 invertible matrix P and a diagonal matrix D such that D =…

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Q: Let A be a matrix given by 3-6 -1 4 -8 -2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

A: A=3-6-14-8-2-363 Finding the eigen value of the matrix A A-λI=3-λ-6-14-8-λ-2-36-λ3-λ…

Q: Find matrices P, D and P-1 that diagonalize matrix A, where A = P = D= P-1 20 0 -11 -2 -3 -30 -1

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Q: SOLVE BY LINEAR METHOD - y'- 3 X Y = x 3 cos (x)

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Q: n 2. Check whether the matrix A- 2 Check whether the matrix A (0 is Hestnitian and Unitary matrix or…

A: The detailed solution is given below Thank you

Q: -2 -1 -2 Let M 2 -2 -3 Find c1, c2, and c3 such that -1 3 -1 M³ + c,M² + c2 M + c3I3 = 0, where I3…

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Q: Q5 Let -1 7 A = 1 15 -2 (5a) Find a 3 x 3 matrix P and a diagonal matrix 0 0 D= such that A = PDP-1…

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