- #1
Sanglee
- 6
- 0
Homework Statement
Let V be the spcae of all 3x3 matrices with real entries. Is W, the set of all 3x3 lower triangular matrices, a subspace of V? Why or why not?
Homework Equations
The Attempt at a Solution
I just think that all 3x3 lower triangular matrices are included in all 3x3 matrices with real entires.
So my answer is that W is a subspace of V. but I don't know correct answer.
and I don't know how to explain why I think W is a subspace of V...
I think I'm missing an important definition or theorem...?