Question: Q3 (10 points) Let us consider a linear transformation T : [R2 > R2 induced by the transformation matrix 2 O A = ( 1

Q3 (10 points) Let us consider a linear transformation T : [R2 > R2 induced by the transformation matrix 2 O A = ( 1 3) and another lineartransformation S : [R2 > [R2 induced by the transformation matrixB=(4 2). 1 1 (i) Find the transformation matrix of the composite transformation S o T. (ii) Calculate (S o 7365) for} = ( 21) (iii) Find the transformation matrix of the inverse transformation (S o T)'1. (iv) Calculate (S 0 13165) for 35 = ( 61 ). (v) What can you conclude from your answers to parts (ii) and (iv)

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