- #1
am_knightmare
- 9
- 0
Im having trouble under stand the relationships between determinats, span, basis.
Given a 3x3 matrix on R3 vector space.
* If determinat is 0, it is linearly dependent, will NOT span R3, is NOT a basis of R3.
, If determinant is non-zero, its linearly independent, will span R3, is a basis of R3
I was not able to confirm this statement one of my friends said, and i checked wiki as well, but didn't find a answer. Question is, is this right? can anyone confirm this? Thanks in advance.
Given a 3x3 matrix on R3 vector space.
* If determinat is 0, it is linearly dependent, will NOT span R3, is NOT a basis of R3.
, If determinant is non-zero, its linearly independent, will span R3, is a basis of R3
I was not able to confirm this statement one of my friends said, and i checked wiki as well, but didn't find a answer. Question is, is this right? can anyone confirm this? Thanks in advance.