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Unformatted text preview: . ANSWER: (b) Solve 1 2 3 1 2 1 1 0 1 x y z = 1 1 1 . ANSWER: 3 3. (10 points) Determine whether the following system of equations is consistent (i.e. has at least one solution). If it is, nd the solution(s). x + y + z = 2 x + y + 2 z = 2 2 x + 2 y + 3 z = 4 . ANSWER: 4 4. (10 points) (a) Let T : R 2 R 2 be the linear transformation that projects onto the xaxis (i.e. T ( x ) = proj L ( x ), where L is the xaxis). Determine the matrix of T (and justify your answer). ANSWER: 5 (b) Let S : R 2 R 2 be the linear transformation that reects through the xaxis. Let W ( x ) = S ( S ( x )). Determine the matrix of W . 6 5. (10 points) Suppose that the 4 2 matrix A satises A1 ! = 1 1 . and A 1 1 ! = 1 1 1 . Calculate the matrix of A . ANSWER: 7 8...
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This note was uploaded on 04/26/2009 for the course MATH 33a taught by Professor Lee during the Winter '08 term at UCLA.
 Winter '08
 lee
 Math

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