(a) Find the condition(s) on b₁, b2, b3 for b to belong to C(A), the column space of the matrix A: A = [1 2-2 25-4 37-6 In doing so, find R the reduced row echelon form of A. (b) What are the pivot variable(s) and the free variable(s) for this particular A? (c) Find a description of the nullspace, N(A). (d) What is the rank r? Does A have full row rank? Does A have full column rank?

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