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# What Is a Matrix Inverse?

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.

Continue ReadingOnly 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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## What Is the Multiplicative Inverse of a Negative Number?

A: The multiplicative inverse of a negative number must also be a negative number. By definition, the product of a number and its multiplicative inverse is (p... Full Answer >Filed Under: -
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## What Is 2 X 2 Matrix Multiplication?

A: One can use 2 x 2 matrix multiplication to multiply two 2 x 2 matrices together, resulting in another 2 x 2 matrix. Matrix multiplication is not commutativ... Full Answer >Filed Under: -
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## What Is Matrix Division?

A: Matrix division means multiplying one matrix by the inverse of another matrix. Matrix A "divided by" matrix B is equivalent to matrix A multiplied by the i... Full Answer >Filed Under: -
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## What Is an Orthogonal Matrix?

A: An orthogonal matrix is a square matrix that has a transpose identical to its inverse. The transpose of a matrix is found by swapping each element a(ij) of... Full Answer >Filed Under: