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In: Advanced Math

Find (a) the rank of the matrix below, (b) a basis for its row space, and...

Find (a) the rank of the matrix below, (b) a basis for its row space, and (c) a basis for the solution space of Ax=0. [To save you time, I include the RREF of A.]

A = {(1,2,-3), (2, -1, 4), (4, 3, -2)}; each triple is a row of A, from left to right (top to bottom).

The RREF of A is {(1,0,1), (0,1,-2), (0,0,0)} (left to right, top to bottom, as above).

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