If P is a fixed n n matrix, then the similarity transformation AP 1 AP can be viewed as
Chapter 5, Problem 34(choose chapter or problem)
If P is a fixed n n matrix, then the similarity transformation AP 1 AP can be viewed as an operator SP (A) = P 1 AP on the vector space Mnn of n n matrices. (a) Show that SP is a linear operator. (b) Find the kernel of SP . (c) Find the rank of SP
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