13 11 points previous answers holtlinalg1 31046

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13. 1/1 points | Previous Answers HoltLinAlg1 3.1.046. Determine if the statement is true or false, and justify your answer. If are onto linear transformations from R n to R m , then so is T 1 ( x ) and T 2 ( x ) W ( x ) = T 1 ( x ) + T 2 ( x True, by the definition of linear transformation. True, by the definition of linear transformation and the definition of onto. False. Consider T 2 ( x ) = T 1 ( x ), where T 1 is onto. False. Consider T 2 ( x ) = − T 1 ( x ), where T 1 is one-to-one. False. Consider T 2 ( x ) = − T 1 ( x ), where T 1 is onto. ).
14. 4/4 points | Previous Answers HoltLinAlg1 3.1.049. A linear transformation T : R 2 R 2 is called a dilation if for r > 1. (It is called a contraction (a) Find the matrix A such that r 0 T ( x ) = r x 0 < r < 1.) if 0 r [r, 0; 0, r] (b) Let r = 2 , and then sketch the graphs of and T ( x ) = A x . A = x = 6 −1 T ( x ).
2015 3 17 UW Common Math 308 Section 3.1 9/9 Solution or Explanation (a) (b) A = r 0 0 r

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