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.)

Problem:

Consider the vectors in , with . Are these vectors linearly independent?

My solution:

No, they are not. Since , will fail to equalm. 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!