Consider a 2 x 2 matrix A with A2 A. a. If w is in the image of A, what is the
Chapter 3, Problem 48(choose chapter or problem)
Consider a 2 x 2 matrix A with A2 A. a. If w is in the image of A, what is the relationship between w and Awl b. What can you say about A if rank(A) = 2? What if rank (A) = 0? c. If rank(A) = 1, show that the linear transformation T(x) = A* is the projection onto im(A) along ker(A). (See Exercise 2.2.33.)
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