I guess the problem is that I don't know which norm to use, so I used det as the norm. How do you define a norm for matrices other than the det function?
Question:
How do I prove the set of non-invertible matrices is unbounded?
Attempt:
Let A be an element of set of non-invertible matrices.
det(A)=0
det(A)=0 is just the line y=0 if you have det(A) as the y-axis and the set of non-invertible matrices on the x-axis. y=0 is unbounded, so the...