Linear Algebra

Question 1

Rank of a matrix

Answer 1

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.

Question 2

Given a system AX=B , if Rank A = Rank [A|B] then the system do not have a solution . True / False

Answer 2

False , it has a solution [ either unique or infinite ].

Question 3

Given a system AX=B , if Rank A != Rank [A|B] =>_______

Answer 3

inconsistent system , means no solution exist

Question 4

What is trivial solution in a homogeneous system AX=0

Answer 4

The zero solution is called as “ trivial solution .” in AX=0