=:"Consider the matrix formed by five vectors a¡: 1 -2 1 0 -3 1 -2 0 A = (a₁ a2 a3 as as) = 0 -1 -1 1 -1 39 0 0 3 3 -12/ " in obvious notation. (i) Find a basis for the column space of A. (ii) Express the non-basis vectors aj, 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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