Let A = in all parts of this problem.a. Find a scalar k (lambda) such that the matrix A
Chapter 2, Problem 53(choose chapter or problem)
Let A = in all parts of this problem.a. Find a scalar k (lambda) such that the matrix A kl 2 fails to be invertible. There are two solutions; choose one and use it in parts (b) and (c). b. For the a you chosc in part (a), find the matrix A kh \ then find a nonzero vector x such that (A \12)x = 0. (This can be done, since A kl2 fails to be invertible.) c. Note that the equation (A \h)x = 0 can be written as Ax Xx 0, or, Ax = kx. Check that the equation Ax = kx holds for your k from part (a) and your jc from part (b).
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