Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are 11 = 2, 12 = -1, and 13 = -4. If V1 = [1 o 0], v2 = [1 1 0], V3 = [0 1 1] are eigenvectors of A corresponding to å1, 12, and 13 , respectively, then factor A into a product XDX- with D diagonal, and use this factorization to find A. 32 AS : 1 -1025 -243

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Q: A5 Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are λ₁ = -2, A₂ = 4, and X3 = 1. If B. =…

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Q: 0031 0003 -1 600 -2600 (b) B = 0 030 0 003

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Q: and find the corresponding eigenvector.

A: λ is an eigen value if we have Av=λv for some v non-zero.v is called eigen vector.

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Q: 00 20 000 1 0 00 2 C = 2000 0 010 0100 y D = 0 200 1000

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A: We will use diagonalization of matrix and its properties to find required vector

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Q: A [11 -2] 50-5 Find the eigenvectors of the given matrix: 181-18) 12 i

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Q: Let A be 2 x 2 matrix. if trace A =8 and det(A)= 12 then the eigenvalues of A are: Select one: a.…

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Q: If A is a 3 X 3 diagonalizable matrix with eigenvalues -2, 3, and 4, find  det A.

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Q: Let A be a 3 x 3 diagonalizable matrix whose elgenvalues are A₁4 A₂-2 and As - 1. f V₁ [100].…

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Q: FIND the eigenvalues of the following matrix:                   [−3 −1]        B=      [ 2 −5]

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