Question: We know that a matrix A is singular if det(A) = 0. Can we also conclude that the determinant of a matrix is a good

We know that a matrix A is singular if det(A) =

We know that a matrix A is singular if det(A) = 0. Can we also conclude that the determinant of a matrix is a good indicator of near singularity? In other words, does the magnitude of a nonzero determinant give any information about how close to singular the matrix is? Give a proof for your

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