The linear transformation T(x) =17. Consider a matrix A of the form A = , where a a2 +
Chapter 2, Problem 18(choose chapter or problem)
The linear transformation T(x) =17. Consider a matrix A of the form A = , where a a2 + b2 = 1. Find two nonzero perpendicular vectors v and w such that Av = v and Aw = w (write the entries of v and w in terms of a and b). Conclude that T(Jc) = A jc represents the reflection about the line L spanned by v.0.6 0.8' _ . 0.8 -0.6 X lS a reflection about a line L (see Exercise 17). Find the equation of line L (in the form y = mx).
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