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## Homework Statement

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

3 6

## 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

c d

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 :)

Cheers