Suppose that a matrix A (not given) has eigenvalues λ =1,-2,3 with eigenvectors [[1],[2],[1]],[[-1],[0],[1]] , and [[0],[0],[1]] , respectively. Find P and D so that P⁻¹AP=D .

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15-06-2024
Mathematics

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Suppose that a matrix A (not given) has eigenvalues λ =1,-2,3 with eigenvectors [[1],[2],[1]],[[-1],[0],[1]] , and [[0],[0],[1]] , respectively. Find P and D so that P⁻¹AP=D .

Sagot :

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Suppose that a matrix A (not given) has eigenvalues λ =1,-2,3 with eigenvectors [[1],[2],[1]],[[-1],[0],[1]] , and [[0],[0],[1]] , respectively. Find P and D so that P⁻¹AP=D .

Sagot :

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