Why is it obvious that a matrix A has an eigenvalue $\lambda_4=0$ if we know that A is symmetric 4x4 matrix, has a double eigenvalue 5 and another simple eigenvalue of -1, and rank 3?
2026-03-29 05:49:40.1774763380
Eigenvalues of symmetric matrices with given information
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Hint the eigenspace relative to zero corresponds to the solution space or $Ax=0$. So..