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If ๐ด is a square matrix, and if a matrix ๐ต of the same size can be found such that ๐ด๐ต = ๐ต๐ด = ๐ผ, then ๐ด is said to be invertible (or nonsingular) and ๐ต is called an inverse of ๐ด. If no such matrix ๐ต can be found, then ๐ด is said to be singular.Remark 1: The relationship ๐ด๐ต = ๐ต๐ด = ๐ผ is not changed by interchanging ๐ด and ๐ต, so if ๐ด is invertible and ๐ต is an inverse of ๐ด, then it is also true that ๐ต is invertible, and ๐ด is an inverse of B
If ๐ด is a square matrix, and if a matrix ๐ต of the same size can be found such that ๐ด๐ต = ๐ต๐ด = ๐ผ, then ๐ด is said to be invertible (or nonsingular) and ๐ต is called an inverse of ๐ด. If no such matrix ๐ต can be found, then ๐ด is said to be singular.Remark 1: The relationship ๐ด๐ต = ๐ต๐ด = ๐ผ is not changed by interchanging ๐ด and ๐ต, so if ๐ด is invertible and ๐ต is an inverse of ๐ด, then it is also true that ๐ต is invertible, and ๐ด is an inverse of B
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