Let a₁, a5 denote the columns of the matrix A, where r5 1 2 2 0 3 3 2 -1 -12 8 4 4 -5 12 L2 1 1 0 -2 A = B = [a₁ a2 a4] Explain why a3 and a5 are in the column space of B. Find a set of vectors that spans the null space of A, N(A). Determine the dimensions of N(A), col(A), R(A) for the matrix A.

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