## CCSS.Math.Content.HSA.REI.C.8 - (+) Represent a system of linear equations as a single matrix equation in a vector variable.

Authors: National Governors Association Center for Best Practices, Council of Chief State School OfficersTitle: CCSS.Math.Content.HSA.REI.C.8 (+) Represent A System Of Linear Equations As A Single... Reasoning with Equations & Inequalities - High School Algebra Mathematics Common Core State Standards

Publisher: National Governors Association Center for Best Practices, Council of Chief State School Officers, Washington D.C.

Copyright Date: 2010

(Page last edited 10/20/2014)

- Matrices To Solve a System of Equations - Using the inverse of a matrix to solve a system of equations. Example used is: 3x + 2y = 7 and -6x + 6y = 6.
- Represent a System of Linear Equations as a Single Matrix Equation in a Vector Variable - Students should understand that a system of equations can be expressed as a matrix of coefficients multiplied by a vector matrix of variables. Students should know that a matrix equation takes the form AX = B, where A represents the coefficient of our variables, X represents our variables, and B represents the output to our equations. In order to turn linear equations into matrices, we have to rearrange them all into the same format. Then we take each term in the equations and split them up into their proper matrix. A quiz is provided.
- Systems of linear equations - Solve a system of equations using augmented matrices: word problems