MATH 2211 Midterm: Exam1MT210
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Determine the values of k such that the linear system is consistent. Determine when the augmented matrix below represents a consistent linear system. Let a = [a1 a2 a3 a4] where a1 = . Denote the columns of a by a1, a2, a3, a4. Let us say w = span{a1, a2, a3, a4}. The matrix equation ax=b (a) solve the matrix equation ax = b where. Explain. (c) describe the set of all b = b1 b2 b3 for which ax = b does have a solution. Consider the linear system ax = b where. 2 (a) solve the linear system. (b) write the general solution in parametric-vector form. (c) give a particular solution p. (d) write the solution set for the homogeneous equation ax = 0. Linear independence (a) suppose {v1, v2, v3} is a linearly independent set in rn.
