et 8- ((1, 2), (-1,-1)) and 8- ((-4, 1), (0, 2)) be bases for R², and let A-83] А we the matrix for T: R2 R2 relative to 8. (a) Find the transition matrix P from 8' to 8. P= (b) Use the matrices P and A to find [v]s and [7(v)le, where [v]-[-34). (vla- [T(V)]a- p-1. A'= x (c) Find P-1 and A' (the matrix for T relative to 8). X -1/4 12 1/8 10 -1/2 9/4 1/2 -1/2 x (d) Find (T(v)la two ways. [T()le-P¹[T(v)le- -5/2 19/4

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.3: Properties Of Determinants
Problem 63E: Let A be an nn matrix in which the entries of each row sum to zero. Find |A|.
icon
Related questions
Question
Fast pls solve this question correctly in 2min pls I will give u instant 3 like for sure Sini
Let B ((1, 2), (-1, -1)) and 8 ((-4, 1), (0, 2)) be bases for R², and let
*-[83]
be the matrix for T: R² R² relative to B.
(a) Find the transition matrix P from 8' to 8.
P=
(b) Use the matrices P and A to find [v] and [7(v)le, where
[v]-[-3 4].
[v] =
[T(V)]=
p-1a
(c) Find p1 and A' (the matrix for T relative to 8).
A¹ =
X
-1/4
12
1/8
10
-1/2
-9/4
1/2
1/2
(d) Find (T(v)la two ways.
[T(V)le-P¹[T(v)le -
[T(v)]A[vle -
5/2
19/4
5/2
19/4
Transcribed Image Text:Let B ((1, 2), (-1, -1)) and 8 ((-4, 1), (0, 2)) be bases for R², and let *-[83] be the matrix for T: R² R² relative to B. (a) Find the transition matrix P from 8' to 8. P= (b) Use the matrices P and A to find [v] and [7(v)le, where [v]-[-3 4]. [v] = [T(V)]= p-1a (c) Find p1 and A' (the matrix for T relative to 8). A¹ = X -1/4 12 1/8 10 -1/2 -9/4 1/2 1/2 (d) Find (T(v)la two ways. [T(V)le-P¹[T(v)le - [T(v)]A[vle - 5/2 19/4 5/2 19/4
Expert Solution
steps

Step by step

Solved in 3 steps with 4 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning