1 2 3 2 4 7 1. Let A = 3 6 10 3 6 10 (a) Find an LU decomposition of A. 1 (b) Use the LU decomposition of A to find the solution set of Ax = 2 2 (c) Write C(A) as the span of a set of linearly independent vectors. (d) Write N(A) as the span of a set of linearly independent vectors. (e) Write R(A) as the span of a set of linearly independent vectors.

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