9-7 Transformations with Matrices

9-7 Transformations - Transformations with Matrices Section 9­7 Reflection Matrix Reflection Matrix For a reflection in the Multiply the vertex

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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.

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