2. Consider the matrix 1 3 2 -1 0 2 1 -2 1 6 1 1 6. 1 -1 A = -3 1 1 (a) Find the solution space of the homogeneous system Ax nullspace of A. 0, that is N(A), the (b) Find the basis and dimension of N(A). -1 (c) If b = determine whether the nonhomogeneous system Ax = b is consis- tent. b is consistent where b is given in 2(c), find the complete (d) If the system Ax solution in the form x = Xp + Xh where Хр denotes a particular solution and x, denotes a solution of the associated homogeneous system Ax = 0. ||

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Q: hi

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