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2 cards from this section. Quick, good the night before a test.
What is RREF?
Recall the acronym RREF.
Name one row operation used in Gauss–Jordan elimination.
Think of the actions you take to manipulate rows.
What does Gauss–Jordan elimination achieve?
Focus on the end form of the matrix.
True or False: In Gauss–Jordan elimination, once you reach RREF, you always get a unique solution.
Consider the types of solutions and when they occur.
Perform Gauss-Jordan elimination on the augmented matrix [1,2,1|4; 2,4,1|8; 1,1,1|3] and determine the solution set.
Watch for leading 1s and non-zero rows.
Consider a system that leads to a row of the form [0, 0, 0|5]. What can you deduce about the system’s solutions?
Reflect on the implications of an impossible equation.
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