Let B = {(1, 1, 0), (1, 0, 1), (0, 1, 1)) and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R³, and let 1 A = be t

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Let B 1 1 0 1 0 1 0 1 1 And B 1 0 0 0 1 0 0 0 1 Be Bases For R And Let 1 A Be T 1 (50.96 KiB) Viewed 28 times

Let B = {(1, 1, 0), (1, 0, 1), (0, 1, 1)) and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for R³, and let 1 A = be the matrix for T: R³ R³ relative to B. (a) Find the transition matrix P from B' to B. P = -1 [v] g = [T(v)] B = (b) Use the matrices P and A to find [v] and [T(v)], where [v] = [0 -1 1]. p-1 = ↓↑ ↓ 1 - J (c) Find P-¹ and A' (the matrix for T relative to B'). | ↓ 1 1
A' = (d) Find [T(v)]B¹ two ways. [T(V)] Br= P¹[T(V)] g = B' [T(v)]B¹ = A'[v] B¹ = ↓ 1