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Unformatted text preview: 22A - Section 4 Midterm 1 Name February 2, 2009 Use of texts, notes or calculators is not allowed. READ THIS!! Be extra careful when you see the words SINGULAR and NONSINGULAR in this exam. It is easy to confuse one with the other. Problem Points Score 1 15 2 10 3 10 4 20 5 5 6 10 7 10 8 10 9 10 Total 100 Extra Credit 10 TRY THIS TEST TAKING STRATEGY Here is a good test taking strategy. Do the easy problems first! Read over the entire test doing only those problems whose solution is immediately apparent to you. Then make a second pass at the test trying to solve the easiest of the remaining problems. Continue in this way until you are done. Good luck! 22A - Section 4 Midterm 1 Name 1. (a) (5 points) Define what it means for a matrix A to be nonsingular . (b) (5 points ) Let A and B both be n n matrices and suppose that B is singular . What- if anything - can you say about whether the matrix AB is singular or not? Justify your answer....
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