Question: 8. Standard matrices, geometric transformations, 1-1, onto Let T be the linear transformation T : R2 R2 which first rotates points /2 radians counterclockwise, then

8. Standard matrices, geometric transformations, 1-1, onto Let T be the

8. Standard matrices, geometric transformations, 1-1, onto Let T be the linear transformation T : R2 R2 which first rotates points /2 radians counterclockwise, then reflects points through the horizontal axis x2 0. (a) Find the standard matrix of T (b) Is T 1-1? Explain why or why not. (c) Is T onto? Explain why or why not. (d) Describe geometrically what happens after applying the transformation T twice

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