We can represent this image as \(3\times 3\) matrix where each entry is a colour. Colours can be represented in many ways: HEX, RGB, HSL, CYMK. We'll represent a colour by a 3D vector of RGB values.

If \(A\) is a \(3\times 3\) matrix then we can apply a linear transformation to each rgb vector via matrix multiplication, where \([r,g,b]\) are the original values ...