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A simple question, are multiples of r = [1 0]T solutions to the matrix below.

Shouldn't it be r = [0 1]T?

T = transpose.

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    The original problem was probably to find $(r_1,r_2)^T$ and row reduction has created the form you have with $r_1$ and $r_2$ interchanged.2017-01-25
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    @Paul Yes, that explained everything. Thanks.2017-01-25

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