Many times you run into a matrix operation problem where a variable is substituted for a matrix. These are called matrix equations. These can be solved through addition or multiplication. A matrix is a series of boxes of information or data. It may even resemble a spreadsheet to most people that are familiar with them. This is not surprising because a spreadsheet serves a very similar purpose.

A matrix is an arrangement of numbers in rows and columns in a rectangular form. The order of matrix is written in (number of rows × number of columns). When studying matrices, you will also come across matrix equations. The generic form of these equations is Ax = b , where A is an m × n matrix, b is a vector in R m , and x is a vector whose coefficients x 1 , x 2 ,..., x n are unknown. If you know how to solve algebraic forms you can solve a matrix forms as well. Solving these equations is very much similar to solving them with real numbers. You can add or subtract the same matrix on both sides of an equation to isolate the variable. The only change in the process of solving matrix equations is you cannot divide by a matrix - division can not be defined. You need to apply multiplication here. You multiply it by the inverse of a matrix to isolate the variable. AX = B, A^(-1) AX = A^(-1) B, 1X = A^(-1) B, X = A^(-1) B. These worksheets explain how to process this entire selection of exercises. We start off with focusing on multiplication. Please note that all answers will also be in matrix form.