Answer each of the questions on your own paper. Be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. Put your name on each page of your paper. A table of laplace transforms is appended to the exam: [10 points] let a = . Compute each of the following matrices, if it exists. If it does not exist, explain why. (a) ab (b) ba (c) a2 (d) b 2: [15 points] find all solutions to the linear system x1 6x2 4x3 = 5. Use gauss-jordan elimination: [15 points] let a = . 4 2 (a) compute det a. (b) compute the inverse of a. (c) using your answer to part (b), solve the linear system ax = b if b = . F (s) = l {f (t)} (s)
