Question: Let T: R2 R2 be the linear operator that reflects each vector about / (see the accompanying figure). (a) Use the method of Example 6

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 Î¸ = 30o with the positive x-axis.

T(x)

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