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Let B = {(1, 0, 1), (1, 1, 0), (0, 1, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be
Let B = {(1, 0, 1), (1, 1, 0), (0, 1, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for RS, and let A= N/ - NAN/ N / H N /W N / UT be the matrix for 7: RS - R relative to B. (a) Find the transition matrix P from B' to B. P = E (b) Use the matrices P and A to find [V], and [T(V)], where B' = [-1 1 0]. B= [T(V)]B = 1 1 (c) Find P- and A' (the matrix for 7 relative to B'). p-1 = EE 1 1 1 1 A' EEF (d) Find [T(V)]B' two ways. [T(V)]B' = P-[T(V) ]B = 1 1 [T(V)]B' = A'TV ]B' =
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