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Solving Matrix Equations

Solving Matrix Equations

Author: Graham Pardun

This lesson demonstrates how knowing the inverse of a matrix can be used to solve a matrix equation.

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How to Solve Matrix Equations When You Need to Use the Multiplicative Inverse of a Matrix

In this lesson, we'll solve an equation of the form A*B + C = D [where A, B, C, and D are all 2x2 matrices]. This'll involve matrix subtraction, the matrix version of division (multiplying a matrix by its multiplicative inverse), and some good old matrix multiplication -- which is quite a lot, but a lot of fun, too.