(a) Let X represent the point (0, 2). If this point is rotated about the origin 45...

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(a) Let X represent the point (0, √2). If this point is rotated about the origin 45° clockwise and then translated 2 units to the right and 3 units upward, determine its new coordinates geometrically. 

(b) Compute Y = ABX, and explain the result. 

(c) Is ABX equal to BAX? Interpret your answer. 

(d) Find a matrix that translates Y back to X.

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