Chapter 1 Systems of Linear Equations (LE)
How can we solve systems of linear equations?
By the end of this chapter, you should be able to...
Translate back and forth between a system of linear equations, a vector equation, and the corresponding augmented matrix.
Explain why a matrix isn’t in reduced row echelon form, and put a matrix in reduced row echelon form.
Determine the number of solutions for a system of linear equations or a vector equation.
Compute the solution set for a system of linear equations or a vector equation with infinitly many solutions.
Before beginning this chapter, you should be able to...
Determine if a system to a two-variable system of linear equations will have zero, one, or infinitely-many solutions by graphing.
Find the unique solution to a two-variable system of linear equations by back-substitution.
Describe sets using set-builder notation, and check if an element is a member of a set described by set-builder notation.