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Definition of singular matrix (not nonsingular)

Created over 8 years ago, updated 10 days ago

Definition: A square matrix $A$ is singular if it is not nonsingular, i.e., it does not have an inverse. Equivalently, $\det(A) = 0$, or the columns (rows) are linearly dependent, or the homogeneous system $Ax = 0$ has nontrivial solutions.