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Euclidean Linear Dependence Question

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1. Is G={ [1 -1], [1 -4], [1 -6], [0 0] cM^2(R) linearly independent or linearly dependent? Justify your answer.
{ [-1 0] [1 0] [1 0 ] [1 0]}

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Solution Summary

Matrices are used to prove linear dependence. Matrix functions are analyzed.

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We consider the scalars a, b, c and d and multiply them by each matrix respectively and put it equal to a zero matrix. Then if it turns out that a=b=c=d=0 we can claim these matrices are linearly independent in the 2*2 ...

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