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Posted: **Thu May 12, 2022 8:31 am**

: Let B 0 1 1 1 0 1 1 1 0 And B 1 0 0 0 1 0 0 0 1 Be Bases For R3 And Let 1 2 2 1 (25.28 KiB) Viewed 27 times

: Let B 0 1 1 1 0 1 1 1 0 And B 1 0 0 0 1 0 0 0 1 Be Bases For R3 And Let 1 2 2 2 (18.96 KiB) Viewed 27 times

Let B = {(0, 1, 1), (1, 0, 1), (1, 1, 0)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for R3, and let -1 - - 2 2 -N-IN IN 1 be the matrix for T: R3 R3 relative to B. (a) Find the transition matrix P from B' to B. P (6) Use the matrices P and A to find [V]g and [T(V)]B, where [V]g: = [1 0 -1] [V]B [T(V)]B

(c) Find p-1 and A' (the matrix for T relative to B'). p-1 = -H A'= (d) Find [T(V)]B: two ways. [T(V)]B' = p-1[T(V)]B [T(V)]B: = A[V]B' =