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Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = 3, A₂ = −2, and A3 = -1 with corresponding eigenvectors 8---8 0 1 0 Express A as PDP-1 where D is a diagonal matrix and use this to find A5. V₁ = A5 = V3 = 1, respectively.

Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = 3, A₂ = −2, and A3 = -1 with corresponding eigenvectors 8---8 0 1 0 Express A as PDP-1 where D is a diagonal matrix and use this to find A5. V₁ = A5 = V3 = 1, respectively.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = 3, A₂ = −2, and A3 = -1 with corresponding eigenvectors @· --D 0 1 0 Express A as PDP-1 where D is a diagonal matrix and use this to find A5. V₁ = A5 = V3 = 1, respectively.
Transcribed Image Text:Let A be a 3 x 3 diagonalizable matrix whose eigenvalues are X₁ = 3, A₂ = −2, and A3 = -1 with corresponding eigenvectors @· --D 0 1 0 Express A as PDP-1 where D is a diagonal matrix and use this to find A5. V₁ = A5 = V3 = 1, respectively.
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