Solve a System of 3 Equations with 3 Unknowns Using an Augmented Matrix (RREF - 1 Solution)

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This video provides an example of how to solve a system of equations using an augmented matrix.
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In echelon form or row one, does the main diagonal need to be all 1s?> Can we reduce the augemnted matrix to row echelon form where main diagonal is 1s and 0s rather than all 1s?

oxfordnoi
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Any reason you did not simply add -R1+R3 to get the first entry of R3 to be 0?

melissadoesmath