Let T: R2 †’ R2 be the linear operator that reflects each vector about / (see the accompanying figure).
(a) Use the method of Example 6 to find the standard matrix for T.
(b) Find the reflection of the vector x = (1, 5) about the line / through the origin that makes an angle of θ = 30o with the positive x-axis.

Transcribed Image Text:

T(x)