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The answer is (1,-1,0,0) however I don't know how to get there.

i hope that helps, all u need is a vectors that u can multiply the basis with to get [1 1 1 1]

vector*

Ohh I see, thank you very very much! :)

Excuse me, why do we use row vectors instead of column vectors in this case? Are the two the same?

matrix multiplication works like that.... matrices dont need to be the same size to multiply dem

check out example 1 here: http://www.mathwarehouse.com/algebra/matrix/multiply-matrix.php

A is a 4x4 matrix... take a look at it again, u didnt see it right

ohhh yes, i did miss a row, sorry

Thanks a lot though! I understand how to do this question now :)