Consider the four vectors 1 1 1 2 -1 3 1 7 -1 and 1 4 0
Consider the four vectors (1, 1, 1), (2, -1, 3), (1, 7, -1) and (1, 4, 0). Calculate how many ways you can write (1, 1, 1) as a linear combination of the other three, explaining your reasoning
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