Linear Algebra Flashcards
1
Q
Rank of a matrix
A
1) It is the number of pivots in the echlon form .
2)It is the number of non-zero rows in echlon form.
3)It is the no. of constrained variable in ecchlon form.
2
Q
Given a system AX=B , if Rank A = Rank [A|B] then the system do not have a solution . True / False
A
False , it has a solution [ either unique or infinite ].
3
Q
Given a system AX=B , if Rank A != Rank [A|B] =>_______
A
inconsistent system , means no solution exist
4
Q
What is trivial solution in a homogeneous system AX=0
A
The zero solution is called as “ trivial solution .” in AX=0