Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)) and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for R³, and let A = 12125 P = -1 2 1 be the matrix for T: R3 R3 relative to B. [v]8 = 321212 (a) Find the transition matrix P from B' to B. (b) Use the matrices P and A to find [v]g and [7(v)]g, where [v]g[-1 1 0]7. 11 a L MAR chile CORNE VER De SNEE T que wwwy de ARS POLEONIS San RE suge NA SENSA KOSMO!
Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)) and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for R³, and let A = 12125 P = -1 2 1 be the matrix for T: R3 R3 relative to B. [v]8 = 321212 (a) Find the transition matrix P from B' to B. (b) Use the matrices P and A to find [v]g and [7(v)]g, where [v]g[-1 1 0]7. 11 a L MAR chile CORNE VER De SNEE T que wwwy de ARS POLEONIS San RE suge NA SENSA KOSMO!
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![(c) Find p-¹ and A' (the matrix for T relative to B').
p-1-
A¹ =
(d) Find [T(v)]g two ways.
[T(V)]8¹ = P¹[T(V)]g
E
[T(v)] = A'[v]g' =
0
11
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Transcribed Image Text:(c) Find p-¹ and A' (the matrix for T relative to B').
p-1-
A¹ =
(d) Find [T(v)]g two ways.
[T(V)]8¹ = P¹[T(V)]g
E
[T(v)] = A'[v]g' =
0
11
Com
![Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)) and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for R³, and let
A =
225/N
P=
1
-1
be the matrix for T: R3 R3 relative to B.
→
[v]8 =
2
(a) Find the transition matrix P from B' to B.
[T(v)]8 =
p-1 =
1
3/22/11/2
(b) Use the matrices P and A to find [v]g and [7(v)]g, where
[v]g[-1 1 0].
⇓ T
15
(c) Find P-¹ and A' (the matrix for T relative to B').
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Transcribed Image Text:Let B = {(1, 0, 1), (0, 1, 1), (1, 1, 0)) and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)) be bases for R³, and let
A =
225/N
P=
1
-1
be the matrix for T: R3 R3 relative to B.
→
[v]8 =
2
(a) Find the transition matrix P from B' to B.
[T(v)]8 =
p-1 =
1
3/22/11/2
(b) Use the matrices P and A to find [v]g and [7(v)]g, where
[v]g[-1 1 0].
⇓ T
15
(c) Find P-¹ and A' (the matrix for T relative to B').
-889-
1
<
MAUR
Na
ama
The
SME
Ber
WORK
Ste
wwwy
PRE
ANNOS
0.
FOOTE WAS
Soun
LARS
MAUROS
S
How
ge
AMSHA
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