prove that a symmetric matrix is singular if and only if at least one of its eigenvalues is zero

Name: prove that a symmetric matrix is singular if and only if at least one of its eigenvalues is zero how to prove this in both ways 53012
Uploaded: 2023-02-11T15:31:54-08:00
Duration: 3 min 45 s
Channel: Sri K
Description: prove that a symmetric matrix is singular if and only if at least one of its eigenvalues is zero how to prove this in both ways 53012

Question

Sri K · Accepted Answer

To prove that a symmetric matrix is singular, one needs to find a nonzero eigenvalue that is not

Question

Prove that a symmetric matrix is singular if and only if at least one of its eigenvalues is zero. How to prove this in both ways?

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