MATH 461 Midterm: MATH461 BOYLE-M SPRING2006 0101 MID EXAM 1
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Math 461-01** spring 2006 exam 2. Answer each question on a separate sheet of paper. On each sheet, put your name, your section leader"s name and your section meeting time. Put a box around your nal answer to each part. You must be careful on arithmetic check. You may assume given matrix equations are well de ned (i. e. the matrix sizes are compatible): (21 points) given the matrix. Nd a basis for each of the following: (a) col(a), the column space of a. (b) nul(a), the null space of a. (c) row(a), the row space of a. 2: (21 points) for each of the following, answer true or false. (a) let v be the set of continuous functions f from the unit interval [0, 1] into the nonnegative real numbers, [0, ). Now let b = {b1, b2} and c = {c1, c2} be the bases of r2 given by the vectors b1 = 2.