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1 2 0 3 1 ||-2

0 0 1 2 4 || 5

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0 0 0 0 0 || 0

We just learned transposes and matrix multiplication (after a few sections on solving linear systems of equations -- via triangular matrices, row echelon form, and reduced row echelon form).

I applied the consistency theorem for linear systems, and was indeed able to write it as a linear combination of the column vectors of A -- so i know it's solvable.

The answer is given in the back of the book, and is given as the transpose of a row vectorb(where Ax=b, and the above augmented matrix is (A |b)

Can anyone nudge me in the right direction? My book has no similar examples or mention of solving a system like this via transposes, and it seems that the transpose plays a roll in how I am SUPPOSED to solve this question...

ps: the answer isb= (8,-7,-1,7)^{T}

maybe they just used this notation to save space...and I'm just supposed to use the method we have already learned for matrices in reduced row echelon form?

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# Linear Algebra (applied) question

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