The 3×3 matrix obtained from the translation by (3,1) followed by the rotati about the origin. 1 a) c) 15150 15150 1 石 1 1 亚 0 1 石 五 1 江 0 0 √√2 2√√2 b) 1 -2√2 d) 1 1 1 1 1 石 一向 亚 0 0 -1 1 1 石 1 石 五 0 0 石 22 E 2√2 1

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 50EQ
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The 3×3 matrix obtained from the translation by (3,1) followed by the rotation 45°
about the origin.
1
石
a)
c)
1
515
0 0
1515
1
1
五
1
石 石
1
江
1
五
2√2
占
-2√√2
0 0 1
1
b)
d)
-
-5-5
15150
_2
1
1
0 0 -1
1515
石
1
1
石
1
五
0 0
2
2√√/2
1
Transcribed Image Text:The 3×3 matrix obtained from the translation by (3,1) followed by the rotation 45° about the origin. 1 石 a) c) 1 515 0 0 1515 1 1 五 1 石 石 1 江 1 五 2√2 占 -2√√2 0 0 1 1 b) d) - -5-5 15150 _2 1 1 0 0 -1 1515 石 1 1 石 1 五 0 0 2 2√√/2 1
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