Let f: R² → R² be the rigid motion defined by f(a, b)= (2-a+b, 1+ a + b). Express f in the form f = goT where g is a translation and T an orthogonal operator on Rº. Find the vector vo by which g translates. If T is a rotation, find the angle through which it rotates. If T is a reflection about a line L through the origin, find the angle a that L makes with the positive x-axis. I

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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LINEAR ALGEBRA III
Please help answer all questions below:
Let f: R² R² be the rigid motion defined by
I
f(a, b) = (2-a+b, 1+ a + b).
- 1/212-
Express f in the form f = go T where g is a translation and T an orthogonal operator on R². Find
the vector vo by which g translates. If T is a rotation, find the angle through which it rotates. If
T is a reflection about a line L through the origin, find the angle a that L makes with the positive
x-axis.
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歐美酒100%
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Transcribed Image Text:| W *)) 40 01:23 PM 2022-07-31 W File Paste 7,12,1,11,1,10,1,9,1,8,1,7,1,6,1.5.1,4,1,3.1.2.1,1,1,|,1,1,1.2 | | Home Page: 1 of 1 Clipboard Insert Page Layout Cut Copy Format Painter Words: 9 Calibri (Body) T BIU References 12 T Α B-B-S ## T ↓ AaBbCcDc AaBbCcDc AaBbC AaBbcc AaBI AaBb CcL 1 Normal No Spaci... Heading 1 Title Heading 2 Styles ··2·1·1·1···1·1·2·1·3·1·4·1·5·1·6·1·7·1·8·1·9·1·10 ·| · 11 · |· 12 · |· 13 · |· 14 · 1 · 15 · |-·\\ · · · 17 · · · 18. I I I I U abe X₂ X³ abe X, X² Font Α΄ Mailings T Aa A ab Aal Document1 - Microsoft Word (Product Activation Failed) View Review I Paragraph I LINEAR ALGEBRA III Please help answer all questions below: Let f: R² R² be the rigid motion defined by I f(a, b) = (2-a+b, 1+ a + b). - 1/212- Express f in the form f = go T where g is a translation and T an orthogonal operator on R². Find the vector vo by which g translates. If T is a rotation, find the angle through which it rotates. If T is a reflection about a line L through the origin, find the angle a that L makes with the positive x-axis. | Subtitle Find A Час Replace Change Styles Select Editing G 歐美酒100% - D @? ▶O+
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