Practice Test 3d

Practice Test 3d - Name 18 April 2007 Teaching Assistant...

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Name 18 April 2007 Teaching Assistant Hour Test 3 Math 1502D Andrew Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used, but 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) a. Find a basis for the image of the matrix - = 7 6 2 2 1 3 7 4 1 2 2 3 2 1 1 A b. What is the dimension of the kernel of A ? Why? 2. (25) a. Find the QR factorization of the matrix - - - - = 5 2 3 2 3 2 5 2 A . b. Use the QR factorization from part a to find the least squares solution of - = 0 9 5 2 x A .
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Name Page 2 of 3 Hour Test 3 Teaching Assistant 18 April 2007 3. (25) In this question we revisit an old problem: finding the distance between two
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Practice Test 3d - Name 18 April 2007 Teaching Assistant...

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