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

Let L be a linear operator such that:

L[1, 1, 1, 1] = [2, 1, 0, 0]

L[1, 1, 1, 0] = [0, 2, 1, 0]

L[1, 1, 0, 1] = [1, 2, 0, 0]

L[1, 0, 1, 1] = [2, 1, 0, 1]

a) Find [L]

b) Compute L[1, 2, 3, 4]

2. Relevant equations

3. The attempt at a solution

I used another post on this forum to work on part b (I think) without actually using [L] itself. I expressed [1, 2, 3, 4] as a linear combination of the other vectors (a*[1, 1, 1, 1], b*[1, 1, 1, 0], c*[1, 1, 0, 1], and d*[1, 0, 1, 1]) but I'm not sure where to go from there. Anyways, wouldn't it be easier to just find [L] like it asks and use that? Thanks in advance.

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# Homework Help: Find Linear operator [L] and compute

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