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test210b

# test210b - Name Teaching Assistant Math 1502 J Andrew 18...

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18 March 2010 Teaching Assistant Test 2 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) a. Find the matrix R for the reflection of 2 R across the line x y - = . b. Let u be the unit vector = 5 4 5 3 u . Calculate T u u 2 I H - = , where I is the 2 x 2 identity matrix. c. Compute 2 H , where H is the matrix from part b. d. Find the matrix for the composition of the reflection of part a, followed by the linear function whose matrix is H of part b. 2. (25) Determine whether or not the planes with equations listed below intersect. If they intersect in a point, find it. If they intersect in a line, parametrize the line of intersection. 25

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test210b - Name Teaching Assistant Math 1502 J Andrew 18...

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