Lesson: Augmented Matrices Mathematics

In this lesson, we will learn how to interpret augmented matrices and represent systems of linear equations as an augmented matrix.

Lesson Plan

Students will be able to

find the augmented matrix when given matrix and matrix ,
represent a system of linear equations as an augmented matrix,
understand the terms coefficient matrix, variable matrix, and constant matrix,
relate the order of an augmented matrix with the order of the corresponding coefficient matrix,
relate the order of an augmented matrix with the number of equations and the number of variables in the corresponding system of linear equations.

Q1:

Find the augmented matrix for the following system of equations:

Q2:

Find the system of equations from the following augmented matrix:

Q3:

True or False: The coefficient matrix has fewer columns than the augmented matrix.