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Unformatted text preview: Assignment 9
Applied Linear Algebra
Math 232 (Fall 2008)
Section 5.4 Section 6.1 Section 6.2 Assignment 9
Applied Linear Algebra
Math 232(Fall 2007)
Additional question:
Compute [T ]C when T : R2 → R2 is given by
B
x1
x2 = B= 3
1 , 2
15 C= T x1 + 5 x2
4x2 + 3x1 0
1 , 1
0 and and
. A1.We ﬁrst compute what T does to the elements of B :
3
1 = 8
13 2
15 = 77
66 T
and
T . Next we ﬁnd the coordinates of these vectors relative to the basis C .
= 77
66 13
8 = 8
13 66
77 . 13 66
8 77 . C C Thus the matrix [T ]C is given by
B
[T ]C =
B 1 ...
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This note was uploaded on 06/14/2011 for the course MATH 232 taught by Professor Russel during the Fall '10 term at Simon Fraser.
 Fall '10
 Russel
 Linear Algebra, Algebra, Addition

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