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<svg viewBox="0 0 200 200" xmlns="http://www.w3.org/2000/svg">
<rect x="10" y="10" width="30" height="20" fill="green" />
<!--
In the following example we are applying the matrix:
[a c e] [3 -1 30]
[b d f] => [1 3 40]
[0 0 1] [0 0 1]
which transform the rectangle as such:
top left corner: oldX=10 oldY=10
newX = a * oldX + c * oldY + e = 3 * 10 - 1 * 10 + 30 = 50
newY = b * oldX + d * oldY + f = 1 * 10 + 3 * 10 + 40 = 80
top right corner: oldX=40 oldY=10
newX = a * oldX + c * oldY + e = 3 * 40 - 1 * 10 + 30 = 140
newY = b * oldX + d * oldY + f = 1 * 40 + 3 * 10 + 40 = 110
bottom left corner: oldX=10 oldY=30
newX = a * oldX + c * oldY + e = 3 * 10 - 1 * 30 + 30 = 30
newY = b * oldX + d * oldY + f = 1 * 10 + 3 * 30 + 40 = 140
bottom right corner: oldX=40 oldY=30
newX = a * oldX + c * oldY + e = 3 * 40 - 1 * 30 + 30 = 120
newY = b * oldX + d * oldY + f = 1 * 40 + 3 * 30 + 40 = 170
-->
<rect
x="10"
y="10"
width="30"
height="20"
fill="red"
transform="matrix(3 1 -1 3 30 40)" />
</svg>
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