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Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R², and let A = be the matrix for T: R² R² relative t
Posted: Mon Jul 11, 2022 12:15 pm
by answerhappygod
- Let B 1 3 2 2 And B 12 0 4 4 Be Bases For R And Let A Be The Matrix For T R R Relative T 1 (48.78 KiB) Viewed 27 times
Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R², and let A = be the matrix for T: R² R² relative to B. (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v] and [T(v)], where [v] B = [1-3]. [v] B = [T(V)] B = ↓ 1 p-1 = (c) Find P-¹ and A' (the matrix for T relative to B'). A' = ↓ 1 ↓1 (d) Find [T(v)]g, two ways. [T(v)]B¹ = P¹[T(v)] g = ↓ 1