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Chapter 1 Systems of Linear Equations (LE)
Learning Outcomes
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.
Readiness Assurance.
Before beginning this chapter, you should be able to...
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Determine if a system to a two-variable system of linear equations will have zero, one, or infinitely-many solutions by graphing.
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Find the unique solution to a two-variable system of linear equations by back-substitution.
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Describe sets using set-builder notation, and check if an element is a member of a set described by set-builder notation.
