-7 49 Let A= -3 and b = -33 -8 53 A linear transformation T: R² → R°is defined by T(x) = Ax. x1 in R2 whose image under T is b. x2 Find an x = -7 x2 -8 %3D W ....

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
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Question
7
-7
49
Let A =
-3
6.
and b=
-33
-8
53
A linear transformation T: R?→ R° is defined by T(x)= Ax.
%3D
x1
in R2 whose image under T is b.
x2
Find an %3=
-7
-8
w/
Transcribed Image Text:7 -7 49 Let A = -3 6. and b= -33 -8 53 A linear transformation T: R?→ R° is defined by T(x)= Ax. %3D x1 in R2 whose image under T is b. x2 Find an %3= -7 -8 w/
Find the matrix A of the linear transformation T from 2 to p2 that rotates any vector through an angle of 30° in the counterclockwise direction. [NOTE: if you
answer use cos(...) and sin(...), webwork expects the arguments to be in RADIANS.]
A =
W
W
CL
O00
F9
F6
F7
F8
F3
F4
F5
#3
$
%
&
5
8
E
T.
Y.
くo
Transcribed Image Text:Find the matrix A of the linear transformation T from 2 to p2 that rotates any vector through an angle of 30° in the counterclockwise direction. [NOTE: if you answer use cos(...) and sin(...), webwork expects the arguments to be in RADIANS.] A = W W CL O00 F9 F6 F7 F8 F3 F4 F5 #3 $ % & 5 8 E T. Y. くo
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