# Previous answers holtlinalg1 31046 determine if the

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13.1/1 points | Previous AnswersHoltLinAlg1 3.1.046.Determine if the statement is true or false, and justify your answer.If are onto linear transformations from Rnto Rm, then so is 1(x) and T2(x)W(x) = T1(x) + T2(xTrue, by the definition of linear transformation.True, by the definition of linear transformation and the definition of onto. False. Consider T2(x) = T1(x), where T1is onto.
14.4/4 points | Previous AnswersHoltLinAlg1 3.1.049.A linear transformation T: R2R2is called a dilationiffor r> 1. (It is called a contraction(a) Find the matrix Asuch that r00r[r, 0; 0, r](b) Let r= 2, and then sketch the graphs of (x) = rx0 < r< 1.)T(x) = AxA=x= −1T(x).if and T1(x) and T2(x)W(x) = T1(x) + T2(xTrue, by the definition of linear transformation.True, by the definition of linear transformation and the definition of onto. False. Consider T2(x) = T1(x), where T1is onto.).
T(x) = rx0 < r< 1.)T(x) = AxA=x= −1T(x)..6
2015317UW Common Math 308 Section 3.19/9Solution or Explanation(a)(b)A= r00r