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Unformatted text preview: Transformations with Matrices
Section 97 Reflection Matrix
Reflection Matrix
For a reflection in the:
Multiply the vertex matrix on the left by:
The product of the reflection matrix a b ÷
c d xaxis yaxis origin line
y = x −1 0 ÷ 0 −1 0 1 ÷
1 0 b −a −b −a −b a ÷
÷ −c − d ÷
d −c − d c c d ÷
a b 1 0 ÷ 0 −1 −1 0 ÷ 0 1 Rotation Matrix
Rotation Matrix
For a counterclockwis
e rotation about the origin of: 90 ° 180 ° Multiply the vertex matrix on the left by: 0 −1 ÷ 1 −0 −1 0 ÷
0 −1 The product of the rotation matrix & the vertex matrix
a b −c − d ÷
b
a −a −b ÷ −c − d ÷
c d 270°
0 1 ÷
−1 −0 d
c ÷ −a −b Joke Time
Joke Time What did the beach say when the tide came in? Long time no sea! Why was the belt arrested?
For holding up the pants ...
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This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.
 Fall '10
 Towns
 Geometry, Transformations, Matrices

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