An invertible matrix is said to be nonsingular, and a square matrix with no inverse is called a singular matrix.
Notice that matrix inversion is defined for square matrices only—the condition AA−1 = A−1A rules out inverses of nonsquare matrices.
Although not all matrices are invertible, when an inverse exists, it is unique.
Computing the inverse
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Properties of inversion
Products of Nonsingular Matrices Are Nonsingular
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