This use of matrices might not be applicable to many people outside of the STEM fields of work, but being able to use matrices for size changes can be pretty interesting.
One way this can be used is to try and graph a shape on a Cartesian Coordinate System, except larger by a factor of something.
Let’s say that you had a triangle ABC, and point A was at, (3,2), point B was at (1,-2), and C was at point (-5,1). You can make that triangle larger by a factor of let’s say, 2, doing just one thing: Make it into a matrix like so:
[3 1 -5]
[2 -2 1]
And multiply it by a matrix that looks like this:
[2 0]
[0 2]
When we multiply it all out (which would look like this: 2×3+0×2=Element (1,1); 2×1+0×(-2)=Element (1,2); etc…), the matrix we will get will look like this:
[6 2 -10]
[4 -2 1 ]
The numbers in the top row are the x-coordinates, and the numbers on the bottom row are the y-coordinates.
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