All Calculations must be shown to earn full marks! Methods must be used when solving problems (specifically using matrices) Ann angles must be expressed in radian measure. Radical in the final answers must be reduced. Marks will be deducted. Marks will be deducted for not following these instructions.

6. Let T: R' _> R'be a linear transformation defined by T(x, y) = (3x - y,x, x + 2y) a. Find the standard matrix for 7 and use it to find the image of (-1, 5). [4 marks] b. Is T an invertible transformation? Explain. 7. Let 7 be a linear transformation on R defined as follows on the standard basis of R2. 7(1,0) = (2, -5) and T(0, 1) = (3,-1). Without finding the standard matrix, calculate T(7, -2). [2 marks]