Question: 2. Let T(x) = Ux be a matrix transformation from R to R, where U is orthogonal, and let x and y be vectors in

2. Let T(x) = Ux be a matrix transformation from R" to R", where U is orthogonal, and let x and y be vectors in R". a. Explain why T is invertible and express 7-1(x) in terms of U and x. b. Given that x oy = -10 and ||x || = 4 and lly || = 5, find the following and explain your answers. i. IT(x ) 1I ii. T-(x) of '(y) ii. 17-' ( x ) +7-' (y)ll iv.

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