(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The following vectors form an ordered basis E = [v1, v2] of the subspace V = span(v1,v2):

v1 = (1,2,1)^T , v2 = (3,2,1)^T.

The vector v = (24,-8,-4)^T belongs to the subspace V. Find its coordinates (c1,c2)^T = [v]E relative to the ordered basis E = [v1,v2].

2. Relevant equations

None.

3. The attempt at a solution

I am not quite sure how to approach this problem. I wanted to calculate the inverse of:

1 3

2 2

1 1

and then multiply v = (24, -8, -4)^T by the inverse to get the coordinate vector relative to E, however I have no idea if that is the right approach. I feel I'm missing something...

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# Homework Help: Linear Transformation / Coordinate Vector Question

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