[57 -50 -30] Let A = 30 -28 -15 60 -50 -33 X = D= Find an invertible matrix X and a diagonal matrix D such that D = X-¹AX. Hint: The eigenvalues are 2, -3 and -3.

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Q: Find all eigenvalues of the matrix A= O A=-4, -1 O None O A=4, -1 O A= -2, 1 O A=-2, 4

A: Given information: A 2x2 matrix is given as: A=0413 The characteristic equation for the given matrix…

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Q: 4. Diagonalization: Show all of your, no short cuts, box all of your answers. Given the matrix…

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A: Given, eigenvalues are -1 and 6              Eigenvectors are 11 and 2-5

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Q: 1. Consider the matrices A₁ 4 = ( 1 ) - 1 3 0 A₂ 42 = (3-2) ₁ 4₁ = ( 2² -2²), , A3 0 -2 These…

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Q: Find the eigenvalues and eigenvectors of the matrix A = 181 A₁6i, V₁ = and X₂ -6i, 32 = -6 97 -8 6

A: The given matrix is; A=[-6 9      -8 6]

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Q: ind a basis for the A = 3 eigenspace of 6 6 A -1 1 -2 4 7

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Q: If the eigen vectors of a 2 x 2 matrix A corresponding to the eiger -- 2 respectively then the…

A: The Eigen vector corresponding to Eigen value -1 is 11 The Eigen vector corresponding to Eigen value…

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Q: Show justifying that if A and B are square matrixes that are invertible of order n, A-¹BA then the…

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Q: If all eigen values of A matrix is zero,then A=0

A: To find - If all eigen values of A matrix is zero, then A=0

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Q: If the eigenvalues of a 3×3 matrix A is 1, −2 and 20, what are the eigenvalues of A-1?

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Q: and product of eigen Sum of eigen values of matrix A equals to values of A equals to a. trace(A);…

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Q: eigen values of matrix 1 -1 -1 13 1 3 1 -1 Select one: O a.2 -2 3 O b.2 3 C. -2 3 O d.-2

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Q: [-2 2 -31 d the eigenvalues and eigenvectors of matrix A = 2 1 -6 [-1 -2 tyned answers are…

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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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Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. 1 5]…

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Q: 2 matrix A 1X respecti - 5

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Q: Determine whether the eigenvalues of each matrix are distinct real, repeated real, or complex. -5 1…

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