How do you write the matrix $[(1, 2, -1, 3), (3, 7, -5, 14), (-2, -1, -3, 8)]$ using the row echelon form?

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Answer 1 · 2017-04-17T12:27:01

$[(1, 2, -1, 3), (3, 7, -5, 14), (-2, -1, -3, 8)]$

$R2 to R2 - 3 R1 " & " R3 to R3 +2 R1$

$[(1, 2, -1, 3), (0, 1, -2, 5), (0, 3, -5, 14)]$

$R3 to R3 - 3 R2$

$[(1, 2, -1, 3), (0, 1, -2, 5), (0, 0, 1, -1)]$

You now have the 3 pivots

How do you write the matrix [(1, 2, -1, 3), (3, 7, -5, 14), (-2, -1, -3, 8)][(1, 2, -1, 3), (3, 7, -5, 14), (-2, -1, -3, 8)] using the row echelon form?