![]() ![]() Imagine that we transform the matrix consisting of matrix along with the identity matrix into the reduced “stair-like” form. How to calculate the inverse of a given matrix? We have mentioned recently that the operations on rows of a matrix leading to the reduced “stair-like” for is actually multiplication by a matrix. ![]() ![]() Therefore we call such matrices invertible. This implies that only matrices with non-zero determinants can have their inverses. Inverse matrixĪ matrix is inverse to matrix, if, where is the identity matrix (the matrix with ones on the diagonal and zeros everywhere else). Now we will make use of determinants and along the way introduce the notion of inverse matrix.
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