- #1
Dafe
- 145
- 0
Homework Statement
Why does no 3 by 3 matrix have a nullspace that equals its column space?
Homework Equations
NA
The Attempt at a Solution
[tex]
A =
\begin{bmatrix}
0 & 0 & 1 \\
0 & 0 & 0 \\
0 & 0 & 0
\end{bmatrix}
\]
[/tex]
[tex]
C(A) =
\begin{bmatrix}
1 \\
0 \\
0
\end{bmatrix}
\]
[/tex]
Does not then N(A) = C(A)?
I think I am missing something here.
Thank you for your time.