Find a basis for the following vector space:
The set of 2x2 matrices A such that CA=0 where C is the matrix : 1 2
The Attempt at a Solution
I multiplied C by a general 2x2 matrix : a b and got 4 equations but two of these equations are the
same and it seems as I am going around in circles. I know I need to find a set that is linearly independent and spans the original set but I'm not sure how to proceed.
Help would be greatly appreciated :)