Question: $2. (10 p) Consider the matrix formed by five vectors a;: 0 0 -3 1 09 09 0 A = (a a, as a, as)

$2. (10 p) Consider the matrix formed by five vectors a;: 0 0 -3 1 09 09 0 A = (a a, as a, as) = in obvious notation. -2 -1 1 -1 0 3 9 0 -12 (i) Find a basis for the column space of A. (ii) Express the non-basis vectors a,, if any, as a linear combination of the vectors found in item (i). (iii) What's the rank of A? (iv) What is the dimension of the null space of A (ie, the nullity of A)

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