A '''singular matrix''' is one that has a zero image of a nonzero vector.
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A '''singular matrix''' is one that has a zero image of a nonzero vector. It is also a square matrix that does not have an inverse (a ''noninvertible'' matrix).
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The term "nonsingular matrix" is essentially a nontrivial matrix: one whose [[kernel]] is 0.
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The term "nonsingular matrix" is one whose [[kernel]] is 0. This type of matrix is invertible.