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 5 A 1 2 be the matrix for T: R3 → R3 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 [7(V)]g, where [V]g = [1 -1 0j". [V]B [T(V)]B = m/N -/2 1/2

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
(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-1[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-1[T(v)]g [T(V)]g = A'[V]g =
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
3
1
-1
2
2
5
A =
1
1.
2
2
be the matrix for T: R3 → R3 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 [7(V)]g, where
[V]g = [1 -1 oj".
[V]B =
[T(V)]B
2.
Transcribed Image Text: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 3 1 -1 2 2 5 A = 1 1. 2 2 be the matrix for T: R3 → R3 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 [7(V)]g, where [V]g = [1 -1 oj". [V]B = [T(V)]B 2.
Expert Solution
steps

Step by step

Solved in 5 steps with 9 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
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,