Again, I think I have come up with the correct answer, but the answer is not provided as theoretical answers are omitted from the answer key (bad system if you ask me.)
Consider the vectors in , with . Are these vectors linearly independent?
No, they are not. Since , will fail to equal m. There will not be a pivot in every column, which is a requirement for a set of linearly independent vectors.
Am I on the right track? Any input appreciated!