MATH1833 Midterm: MATH 1833 UNB Exam 1833 00a
Document Summary
If you wish, you may also attempt the optional bonus problems. Little or no credit may be awarded, even when your answer is correct, if you fail to follow instructions for a problem or fail to justify your answer. If you need more space, use the back of any page. De ne t : r5 r4 by t (~x) = a~x, where. Take my word for it that b = 0 is the reduced echelon form of a. Find a basis for im(t ): (20 points). Let v, w be vector spaces, let t : v w be a linear transformation, and let. Suppose that t is onto and that spans v . Prove that spans w : (15 points). For each real number c r, de ne the matrix ac = Find an orthonormal basis for w : (15 points). Let v = p3(r), let = {1, x, x2, x3}, and let.
