test310b - Name Teaching Assistant Math 1502 J Andrew 22...

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Name 22 April 2010 Teaching Assistant Test 3 Math 1502 J Andrew Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but are by no means necessary. Pay particular attention to instruction 2. To receive credit, you must show your work. Unexplained answers, and answers not supported by the work you show, will not receive credit. 4. Express your answers in simplified form. 1. (25) Let A be the matrix - - - 4 3 1 1 1 3 2 1 2 1 9 7 4 5 2 4 3 1 1 1 a. Find a basis for the Image of A . b. Calculate the dimension of the Image of A and the dimension of the Kernel of A . Be sure to explain your work. 2. (25) a. Find the QR factorization of the matrix - = 5 1 2 0 3 1 A . Express your answer exactly, no decimals . b. Use the QR factorization to find the least-squares solution to = 6 6 0 x A . Again, express your answers exactly, no decimals.
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This note was uploaded on 09/07/2010 for the course CALC 1502 taught by Professor Morley during the Spring '08 term at Georgia Institute of Technology.

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test310b - Name Teaching Assistant Math 1502 J Andrew 22...

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