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Solving Systems of Linear Equations Using Matrices

Provided by the Academic Center for Excellence 1 Solving Systems of Linear Equations Using Matrices Summer 2014 Solving Systems of Linear Equations Using Matrices What is a Matrix? A matrix is a compact grid or array of numbers. It can be created from a system of Equations and used to solve the system of Equations . Matrices have many applications in science, engineering, and math courses. This handout will focus on how to solve a system of Linear Equations Using Matrices . How to Solve a system of Equations Using Matrices Matrices are useful for Solving Systems of Equations . There are two main methods of Solving Systems of Equations : Gaussian elimination and Gauss-Jordan elimination. Both processes begin the same way. To begin Solving a system of Equations with either method, the Equations are first changed into a matrix.

Provided by the Academic Center for Excellence 3 Solving Systems of Linear Equations Using Matrices Summer 2014 (3) In row addition, the column elements of row “A” are added to the column elements of row “B”. The resulting sums replace the column elements of row “B” while row “A” remains unchanged.

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