linear algebra

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Determine whether {v1, v2, v3} is a basis for R3

v1 = [1]
[-3]
[1]

v2 = [-3]
[8]
[4]

v3 = [2]
[-2]
[2]

Put the vectors as rows or columns in a matrix and perform Gaussian reduction to determne the row or column rank. In this case you should find that the rank is 3, therefore te vectors span R^3

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