Let B = {(1, 3), (-2, -2)} and B' = {(-12, 0), (-4, 4)} be bases for R², and let [:] 0 3 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]g and [T(V)]g, where [V]g, = [2 -4]7. [V] = [T(V)]g =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question

Linear Algebra

6.4

3.

pls help

Let B =
{(1, 3), (-2, -2)} and B' = {(-12, 0), (-4, 4)} be bases for R², and let
0 3
A =
2 4
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]g and [T(V)]g, where
[V]g = [2 -4]T.
[V]B =
[T(V)lg =
Transcribed Image Text:Let B = {(1, 3), (-2, -2)} and B' = {(-12, 0), (-4, 4)} be bases for R², and let 0 3 A = 2 4 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]g and [T(V)]g, where [V]g = [2 -4]T. [V]B = [T(V)lg =
(c) Find P-1 and A' (the matrix for T relative to B').
p-1=
A' =
(d) Find [T(V)]g, two ways.
[T(V)]g, = P-[T(v)]g =
[T(V)]g = A'[V]g =
Transcribed Image Text:(c) Find P-1 and A' (the matrix for T relative to B'). p-1= A' = (d) Find [T(V)]g, two ways. [T(V)]g, = P-[T(v)]g = [T(V)]g = A'[V]g =
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,