Let T: U U. A vector u is said to be a fixed point of T if T( u) = u. Determine the
Chapter 4, Problem 3(choose chapter or problem)
Let T: U U. A vector u is said to be a fixed point of T if T( u) = u. Determine the fixed points (if any) of the following transformations. (a) T(x, y) = (x, 3y) (b) T(x,y) = (x,2) (c) T(x, y) = (x, y + 1) (d) T(x,y) = (x,y) (e) T(x, y) = (y, x) (f) T(x,y) = (x + y,x -y) (g) Prove that if T is linear the set of fixed points is a subspace.
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