1. Let S be the space spanned by vectors 1 Vi = and v2 = (a) Find the projecion matrixP associated with S. (b) Find &, the best approximation in , for each of the following vectors: 2 (i) x = (ii) x = (iii) x = Cases (ii) and (iii) are somewhat unusual; explain why you get these results.

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A:

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A: