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For the matrix A = , answer the following:
The eigen values of A3 are _________________.
  • a)
    (3, 5, -4)
  • b)
    (9, 25, 16)
  • c)
    (27, 125, -64)
  • d)
    (9, 15, -12)
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
For the matrix A = , answer the following:The eigen values of A3 are _...
Matrix A is an upper triangular matrix, and we know that the eigen values of an upper triangular matrix are the diagonal entries. So, the eigenvalues of matrix A are 3, 5 and -4.
We also know that if λ is the eigen value of matrix A, then the eigen value of matrix Ak will be λk.
Hence, eigen values of A3 = 33, 53, (-4)3 = 27, 125, -64
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For the matrix A = , answer the following:The eigen values of A3 are _________________.a)(3, 5, -4)b)(9, 25, 16)c)(27, 125, -64)d)(9, 15, -12)Correct answer is option 'C'. Can you explain this answer?
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