MATH 1553 Quiz: MATH 1553 GT Quiz 5 2 1 to 2 3 Solutionsm1553

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15 Feb 2019
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Math 1553 quiz 5: 2. 1, 2. 2, 2. 3 (10 points, 10 minutes) Show your work and justify answers where appropriate. Solutions answer without suf cient work or justi cation, you will receive little or no credit. 1. (3 pts) let t : r2 r2 be rotation clockwise by 90 . Let u : r2 r2 be the linear transformation with standard matrix 2 1 composition u t . The matrix for t is cos( 90 ) sin( 90 ) sin( 90 ) The mtx for u t is cos( 90 ) = 0. 2 1 (4 pts) find a 1 if a = 1 0 1. 2 0 3 0 0 1 r3=r3 2r1. 0 0 1 2 0 1 r1=r1 r3. 3. (3 pts) answer true if the statement is always true.

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