Determinant Theorem
Given a
Matrix
, the following are equivalent:
1.
.
2. The columns of
m
are linearly independent.
3. The rows of
m
are linearly independent.
4. Range(
m
) =
.
5. Null(
m
) =
.
6.
m
has a
Matrix Inverse
.
See also
Determinant
,
Matrix Inverse
,
Nullspace
,
Range (Image)
© 1996-9
Eric W. Weisstein
1999-05-24