Question

I think I have an EASY one for somebody tonight!! I'm finding the transition matrix of 2 different bases. The bases are made up of 2x2 matrices of the form
[a11, a12]
[a21, 0 ]
So when I write out my transition matrix do I leave that 0 vector out?
Like this:
[1 1 1 1 2 3]
[1 1 0 1 0 1]
[1 0 0 0 0 2]

to end up with my transition matrix as:
[0 0 2]
[1 0 -1]
[0 2 2]

OR do I leave the columns of 0s in there like this?
[1 1 1 0 1 2 3 0]
[1 1 0 0 1 0 1 0]
[1 0 0 0 0 0 2 0]

with my final transition:
[0 0 2 0]
[1 0 -1 0]
[0 2 2 0]

Answer 1

I do not know what it is, :)

Answer 2

Thanks for checking @loser66!