Suppose that matrix A is similar to B, with B = S-1AS. a. Show that if jc is in ker(Z)
Chapter 3, Problem 71(choose chapter or problem)
Suppose that matrix A is similar to B, with B = S-1AS. a. Show that if jc is in ker(Z?), then Sx is in ker(A).b. Show that nullity(A) = nullity(B). Hint: If 0i, 02,..., vp is a basis of ker(fl), then the vectors 5Ci, Sv2.......Svp in ker(A) are linearly independent. Now reverse the roles of A and B.
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