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Problem

1. Let 2163_Matrix.jpgFind all eigenvalues of M. Does M have two linearly independent eigenvectors?

2. Prove that the eigenvalues of A and A T are identical.

3. Prove that the eigenvalues of a diagonal matrix are equal to the diagonal elements.

4. Suppose that matrix A has an eigenvector v with eigenvalue λ. Show that v is also an eigenvector for A2, and find the corresponding eigenvalue. How about for Ak, for 2 ≤ k ≤ n?

Computer Engineering, Engineering

  • Category:- Computer Engineering
  • Reference No.:- M92781280

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