î and ĵ

The unit vectors [1, 0] and [0, 1] along the axes; a matrix’s columns are where they land.

So the columns of a matrix are just where î and ĵ land.
From Matrices as transformations, step “Columns are where î and ĵ land”

See it in action

Try î and ĵ hands-on in the lesson Matrices as transformations, part of the The maths behind AI course.

Open the lesson