Show all work. Determine the Standard Matrix for the transformation rotating the plane counter- clockwise about the origin through 60°. 1 V3 1. A = 2 V3 1 –V3 2 V3 2. А %3D 1 1[V3 1 3. А %- %3D (3 -

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Show all work.
Determine the Standard Matrix for the
transformation rotating the plane counter-
clockwise about the origin through 60°.
1
V3
1
1. A
=
-V3
1
1
-/3
2. А %3
2 V3
1
V3
1
3. А :
V3
-1
V3
4. A =
1
-1 V3
-13
V3
1
5. А %3
1
1 V3
V3
-1
6. А
%3D
2
1
Transcribed Image Text:Show all work. Determine the Standard Matrix for the transformation rotating the plane counter- clockwise about the origin through 60°. 1 V3 1 1. A = -V3 1 1 -/3 2. А %3 2 V3 1 V3 1 3. А : V3 -1 V3 4. A = 1 -1 V3 -13 V3 1 5. А %3 1 1 V3 V3 -1 6. А %3D 2 1
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