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Use matrix multiplication to find the image of the triangle with data matrix $D=\left[\begin{array}{ccc}{5} & {2} & {4} \\ {0} & {2} & {3}\end{array}\right]$ under the transformation that reflects points through the $y$ -axis. Sketch both the original triangle and its image.

$\begin{aligned} R D &=\left[\begin{array}{cc}{-1} & {0} \\ {0} & {1}\end{array}\right]\left[\begin{array}{ccc}{5} & {2} & {4} \\ {0} & {2} & {3}\end{array}\right] \\ &=\left[\begin{array}{ccc}{-5} & {-2} & {-4} \\ {0} & {2} & {3}\end{array}\right] \end{aligned}$

Algebra

Chapter 2

Matrix Algebra

Section 7

Applications to Computer Graphics

Introduction to Matrices

Campbell University

Harvey Mudd College

Baylor University

Lectures

01:32

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02:06

A triangle has vertices $(…

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Okay, So to answer this question, we states that's the metrics off. The transformation that reflects points through the White House is the wife of disease. He's a equal to minus 1001 That is, your Tunde. You are a minus one to the ex exist. That is the matrix of transformation that reflects points to the white exists. So this implies that's the transformed did some metrics is a mord implied by D because we are told to find the image off the triangle on the the MICEX d. So you do eight times D, which is minus 1001 more supplied by five sue for zero Sue three. Andi transformed mattress These minus 50 minus to do minus four on three. Now we're told toe sketchbook. The original triangle on its image says, Dude, that's we have something like these. I'll just make a sketch here and then we have Let's see. 12345 Oh, need one, Sue three. Let's end it for So this is X to this is eggs one. So the original image is the original triangle is 5 to 4 sorted there, so I have 50 rights. So that's the exes. Five The Y zero. That's five. This is one soon 34 fire. So this would be five comma zero. The next one is true. Commit Suso X one is two extras to Dar was somewhere here on the next one is X one is four Extras three. So that's four for my three. I was somewhere here and we have this. So this is this. You can just shoot that in Now. The other one is transformed. Image is minus five, comma zero signing to making minus five years. I'll be 12345 So I have minus find common zero sadistic beads. X one is minus five. Have minus to commit Su Don't be here. And an arm minus four, comma three. So this is minus for under three would be somewhere here. So the image, I guess he's This are my over gun sketch this world. Okay, so something like this. So Don sits

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