Does this work? WHY?
What is ?
A transformation sends vector to and vector to . What is ? Find the inverse of .
This is what I thought you're supposed to do:
Let . Therefore:
I thought I could solve for simultaneously but I really don't know where to go .
Yes, it does work. But I'm not too sure why, sorry .
Oh and I realise that what I wrote was wrong: the matrix should be before the original matrix.
I can see that if you know that it is a 2x2 matrix then you can figure it out by normal matrix multiplication.
Is the transformation matrix always a 2x2 matrix? Why is that?