In each case show that that T is either projection on a line, reflection in a line,

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In each case show that that T is either projection on a line, reflection in a line, or rotation through an angle, and find the line or angle.
(a) T[x y]T = 1/2[x - y y - x]T
(b) T[x y]T = 1/5[-3x + 4y 4x + 3y]T
(c) T[x y]T = 1/2[x - √3y √3x + y]T
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