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Matrix Dilation
4
Matrix dilation
Angerica Gellecania
Learning outcomes
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- Define Matrix Dilation
- Solve mathematical problems involving Matrix Dilation
- Appreciate the importance of learning Matrix Dilation
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Problem 1
Using your conjecture, write a matrix multiplication problem for a triangle with coordinates (–7, –5), (–5, 4) and (2, –6) where the image is smaller. Determine the coordinates of the vertices of your image triangle.
SOlution
Solution
The coordinates were (-3.5, -2.5), (-2.5, 2), and (1, -3).
PROblem 2
problem 2
Using your conjecture, write a matrix multiplication problem for a triangle with coordinates (–7, –5), (–5, 4) and (2, –6) where the image is larger. Determine the coordinates of the vertices of your image triangle. (You may need to change the viewing window to observe the new image.)
Solution
SOLution
The coordinates were (-14, -10), (-10, 8), and (4, -12).
MAtrix dilation
- a type of transformation that occurs when a figure is enlarged or reduced
Let's Learn!
- is created by putting the scale factor on the diagonal of the matrix and leaving all other entries as zero
The general dilation matrix with scale factor k is:
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Examples
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https://www.youtube.com/watch?v=JHU2xUsQq1E
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It's your turn!
It's your Turn!
title
Provide the new coordinates of the following :
1. A (-7, 3), B ( 11, 4) , C (-2, 5) ; k = 3
2. P (9, -2 ), Q (-8, 2 ), C (4, -4) ; k = 2
references:
https://education.ti.com/-/media/50C4E0EBC8BF4EF3A79DE0B44B5933C7
References
https://www.youtube.com/watch?v=amsLvXVax1s
https://www.youtube.com/watch?v=XzdTikyAHFs