Posted by **zinnia** on Sunday, August 5, 2007 at 1:51pm.

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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