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In Exercises $3-8,$ find the $3 \times 3$ matrices that produce the described composite 2 $\mathrm{D}$ transformations, using homogeneous coordinates. Rotate points $30^{\circ},$ and then reflect through the $x$ -axis.

$A=\left[\begin{array}{ccc}{\sqrt{3} / 2} & {-1 / 2} & {0} \\ {-1 / 2} & {-\sqrt{3} / 2} & {0} \\ {0} & {0} & {1}\end{array}\right]$

Algebra

Chapter 2

Matrix Algebra

Section 7

Applications to Computer Graphics

Introduction to Matrices

McMaster University

Harvey Mudd College

Baylor University

Idaho State University

Lectures

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In mathematics, the absolu…

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In Exercises $7-12$ , use …

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this question with the root states points 10 degrees and then reflects to the ex exists. So you'll recall. That's the rotation metrics is given by will sign Phi sine 50 minus sign fied cosign. Fly 0001 So this implies. That's it. Let's see the grille position abouts. The origin is given by So anyway, you see fire, you put 30. So that implies that school sign of 30 is Rudes three over to sign off. 30 is off on a zero minus sign off. 30 is minus off cause I know Fitzy still with three orbit zoo. I have zero. You have 001 now. So this is the rotation on Danny and also to reflect. True, the ex exists. The metrics for reflection. True, the ex exists will be one 000 minus 10001 or yard a lasagna. Adding your more to plan the second column of the identity by minus woman. Because you are rotating your reflects into the ex exists. So you multiply this on the left. So you multiply these by this because we are doing rotation first, which is days and then we are reflecting. So that's why you're writing this way. Zero minus off. Woods three over. TSU zero 001 When you do this, you have the answer. Keys earned. Three over. Zoo minus off. Zero minus off, minus words three over TSU 000 Want. So this is the three by three matrix that you get.

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