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# What is a matrix inverse?

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When a matrix is multiplied by its inverse, the resulting product is the identity matrix. Thus, the inverse of a matrix can be found by dividing the identity matrix by the matrix, resulting in the inverse of the matrix.

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Only square matrices, which have an equal number of rows and columns, have an inverse. An identity matrix is a matrix that has the number one on its diagonal but zeros in every other place. For a two-by-two matrix, the inverse can be calculated by dividing one by the product of the upper-left to lower-right diagonal minus the product of the other diagonal.

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