TBIL-LA Systems of Linear Equations (LE)

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 infinitely 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.
- Review: Khan Academy
  ¹
  bit.ly/2l21etm
Find the unique solution to a two-variable system of linear equations by back-substitution.
- Review: Khan Academy
  ²
  www.khanacademy.org/math/algebra-basics/alg-basics-systems-of-equations/alg-basics-solving-systems-with-substitution/v/practice-using-substitution-for-systems
Describe sets using set-builder notation, and check if an element is a member of a set described by set-builder notation.
- Review: YouTube
  ³
  youtu.be/xnfUZ-NTsCE