Okay this problem seems easy, and i t hought i understood how to do it, but no.(adsbygoogle = window.adsbygoogle || []).push({});

Express the vector v= [14 -12]^T as a linear combination of:

x = [2 -1]^T; y = [-1 3];

v = _x + _y;

_ means thats were they want me to put an answer.

So i row reduced

2 -1

-1 3

which is

1 0

0 1

so why wouldn't the answer just be

v = 14x -12y

becuase

14 * [1 0] = [14 0];

-12*[0 1] = [0 -12];

which is [14 -12] if u add them so what the?

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# Expressing a vector as a linear combinatino of another 2 vectors, how did i miss this

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