10. Consider the following bases for R²: 0 1 3 --{B][B][B]}· --{B]·B]+[C])} 2 0 0 E = Define a linear transformation T : R³ → R³ by T(v) = Av, where = 1 5 8 2 3 7 -1 6 ON 0 5 12 3 Find [TB. Leave your answer expressed as a product of matrices and their inverses.
10. Consider the following bases for R²: 0 1 3 --{B][B][B]}· --{B]·B]+[C])} 2 0 0 E = Define a linear transformation T : R³ → R³ by T(v) = Av, where = 1 5 8 2 3 7 -1 6 ON 0 5 12 3 Find [TB. Leave your answer expressed as a product of matrices and their inverses.
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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![10. Consider the following bases for R²:
1
0
0
5
3
E =
B =
2
12
-{[:] [8] [8]}· • - {[ 3 ] [ * ] []}
}}
0
0
3
Define a linear transformation T : R³ → R³ by T(v) = Av, where
1
5
2
3
0 -1
8
7
6
Find [T]B. Leave your answer expressed as a product of matrices and their inverses.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7eb27733-b5b9-4f80-b991-53bace93f5ba%2F66d6a7cd-9536-43b6-b366-968ca90897ab%2Fkdq4i1f_processed.png&w=3840&q=75)
Transcribed Image Text:10. Consider the following bases for R²:
1
0
0
5
3
E =
B =
2
12
-{[:] [8] [8]}· • - {[ 3 ] [ * ] []}
}}
0
0
3
Define a linear transformation T : R³ → R³ by T(v) = Av, where
1
5
2
3
0 -1
8
7
6
Find [T]B. Leave your answer expressed as a product of matrices and their inverses.
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