Question 2: The linear transformation R : R* + R* is the rotation about the vector (0 1 oj" with the angle according to the right hand rule. The linear transformation 3 S : R' + R is a reflection of the plane x – y + z = 0. Let T = So R. a) Determine the standard matrix for T. b) Determine the null space for T. What dimension does it have? Explain. c) Determine the Image space for T. What dimension does it have? Explain.

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