Find the standard matrix for the linear operator T: R2 R2 that maps a point (x, 7)

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Find the standard matrix for the linear operator T: R2 †’ R2 that maps a point (x, 7) into (see the accompanying figure)
(a) Its reflection about the line y = -x
(b) Its reflection through the origin
(c) Its orthogonal projection on the x-axis
(d) Its orthogonal projection on the y-axis
Find the standard matrix for the linear operator T: R2
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