Question

the product of eigen values of a square matrix is

Answer 1

Answer:

The product of the n eigenvalues of A is the same as the determinant of A. If λ is an eigenvalue of A, then the dimension of Eλ is at most the multiplicity of λ. A set of eigenvectors of A, each corresponding to a different eigenvalue of A, is a linearly independent set.

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Answer 2

Step-by-step explanation:

This note has been used to help create the Eigenvalues and Eigenvectors wiki. Given a square matrix A, prove that the sum of its eigenvalues is equal to the trace of A, and the product of its eigenvalues is equal to the determinant of A.

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