The inverse of matrix is another matrix, which on multiplication with the given matrix gives the multiplicative identity. For a matrix A, its inverse is A-1, and A.A-1 = I.
The inverse of a 1x1 matrix, for example A=[X] where X is a real number, is simply the reciprocal, or (lowercases 'a' and 'x' are the inverses) a=[x] where x=1/X . Here the 'A' and 'a' are matrices and 'X' and 'x' are the numbers.
The inverse of a square matrix A, denoted by A-1, is the matrix so that the product of A and A-1 is the Identity matrix. The identity matrix that results will be the same size as the matrix A.
1:284:27Inverse of a Matrix | Don't Memorise - YouTubeYouTube
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