Three 3×4 matrices (to be) discussed in class, January 31, 2006

1 2 3 6 1 3 4 7 2 2 3 8

1 2 3 6 1 3 4 7 2 5 7 8

1 2 3 6 1 3 4 7 2 5 7 13

Topics for discussion

1. What systems of linear equations might these be the “augmented matrices” for?
2. How does one row-reduce these to (fully) reduced row echelon form?
3. What do those rre forms tell you about the solutions to the “original” systems of equations?

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Posted: 29 Jan. 2006