Given that A is a 3 × 3 matrix with eigen pairs (-9, 3 (12, -2). Find the matrix B = M-¹AM where M = b11 b12 b13 Let B = b21 b22 b23 then b31 b32 b33 b11 = , b13 b21 = b31 || 1,612 , b22 2 " = || = b32 = " -2), (1, = 1, 623 b33 || = 4 -0.[3 4 3 1 3 -2 -2 1 5 || and

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A: If A is any matrix.λ is an Eigen value of A if det(λI -A) =0Where I is identity matrix.  Given,…

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Q: 7.) For matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. Verify that…

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Q: 1 -1 -1 1 -1 1 1 -1

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Q: Find the Eigenvalue(s) of the matrix Row 1: (-2,0,0,0) Row 2: (35,6,0,0) Row 3: (?,-12,4,0) Row 4:…

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Q: All 2x2 matrix have 2 different eigenvalues True O False

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Q: 35. Give an example of a 4 x 4 matrix A without real eigen- values. ANS: Го -1 07 1 A = 0 0 -1 0 1

A: The answer is given as follows.

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Q: For the matrix A, find (if possible) a nonsingular matrix P such that P-'AP is diagonal. (If not…

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