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Unformatted text preview: (a) T x y = y x (b) T ( x ) =-x (c) T rotates vectors clockwise by 90 4. What are the domain and codomain of T if the matrix for T is 4x3? 2x4? 5. Let A = 1-3 2-3 9-6-2 6-4 (a) Find all solutions to A x = 0 (b) Does this set of solutions form a subspace? (c) Write your answer to part (a) as the span of some set of vectors. (d) Suppose someone gives you a vector b and tells you that A 1-1 = b . Find the general solution to A x = b . Is this a subspace of R 3 ? Can it be written as the span of some set of vectors? Why or why not?...
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- Fall '10