6. Consider the A = LR factorization of the matrix A: A = 1 0 0 1 1 0 0 1 1 0 3 2 3 4 0 0 0 2 4 0 0 0 0 0 withou
t multiplying L and R (a) Find a basis for C(A). (b) Find a basis for R(A). (c) Find a basis for N(A). (d) Find a basis for N(AT ). (e) Write the dimension of each of these subspace.
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