Let B = {(1, 2), (-1, -1)} and B' = {(-4, 1), (0, 2)} be bases for R2, and let!3!A =be the matrix for T: R2 R2 relative to B.(a) Find the transition matrix P from B' to B.9.2(b) Use the matrices P and A to find [v]a and [T(v)lB, where[v]g = [2 -3]7.4[v]B%3D128[7(v)l8 =8(c) Find P-1 and A' (the matrix for T relative to B').1/41/4p-1=9/8-5/8 (c) Find P-1 and A' (the matrix for T relative to B').-1/41/4p-1=9/8-5/8A' =(d) Find [T(v)]B two ways.[T(v)lg = P-[T(v)]B%3D[T(v)]B = A'[v]s%3D%3D

Answered: Image /qna-images/answer/b2d0ac1b-0742-45f0-9dba-83c24f76a278.jpg

Let B = {(1, 2), (-1, -1)} and B' = {(-4, 1), (0, 2)} be bases for R2, and let %3D A = be the matrix for T: R2 R2 relative to B. (a) Find the transition matrix P from B' to B. P = 9 (b) Use the matrices P and A to find [v]a and [T(v)lB, where [v]g = [2 -3] 4 [v]B: %3D 12 [7(v)lB 8 (c) Find P-1 and A' (the matrix for T relative to B'). 1/4 1/4 p-1= 9/8 -5/8

Let B = {(1, 2), (-1, -1)} and B' = {(-4, 1), (0, 2)} be bases for R2, and let %3D A = be the matrix for T: R2 R2 relative to B. (a) Find the transition matrix P from B' to B. P = 9 (b) Use the matrices P and A to find [v]a and [T(v)lB, where [v]g = [2 -3] 4 [v]B: %3D 12 [7(v)lB 8 (c) Find P-1 and A' (the matrix for T relative to B'). 1/4 1/4 p-1= 9/8 -5/8

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Let B = {(1, 3), (-2,-2)} and B' = {(-12, 0), (-4,4)} be bases for R2, and let 3 2 40 be the matrix for T: R2 R2 relative to B. 56°F A = (a) Find the transition matrix P from B' to B. P = (b) Use the matrices P and A to find [v] and [T(v)]B, where [v]B = [-5 4]T. [V] B [T(v)]B = (c) Find P-1 and A' (the matrix for T relative to B'). p-1 = 4
Please help with the highlighted sections. I have the entire question so you have all the information.
Find the standard matrices A and A' for T = T₂ o T₁ and T' = T₁0 T₂. T₁: R² R², T₁(x, y) = (x - 3y, 3x + 3y) T₂: R² → R², T₂(x, y) = (y, 0) A = A' = ↓ ↑ 00
Let B = {ü,,ü,}, B'={v,v,} be two bases in R, where %| ü, %3D 3 (a) Find the transition matrix from B' to B. (b) Find the transition matrix from B to B'.
Let B= ((1, 3), (-2,-2)) and 8' = ((-12, 0), (-4, 4)) be bases for R2, and let 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 [7(v)le, where [vla [-1 31. [v] = [T(v)18- 11 p-1 11 (c) Find pand A' (the matrix for 7 relative to 8). 41 41 (d) Find [7(vil bwo ways. (7)=P(7) [vila Al- 11 11
C: Let T be the linear operator associated in the standard basis B of F2 with the matrix 2 - [44] - 1 Let B' be the basis ((2, -1), (2, 1)) M = b) Using eachof these three matrices find the dimension of the range of T (you must check that the dimension is the same with all the matrices)
Please answer only the blank ones
Could you explain how to show this in detail?
5) PLEASE ANSWER EACH QUESTION, THANKS.
Part D asks fir thr coordiante matrix it [x]B, giventhe coordinate matrix [x]B'
Let B = { 1 + x, 1 − x², 1+x+x²} and B' = {2 − x, 1 − x +x²,3 + 2x}. 3.) Find the transition matrix from B to B'. If [9] B' = -3 4 what is g as a polynomial?