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.

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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 ].

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3
Q

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

A

inconsistent system , means no solution exist

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4
Q

What is trivial solution in a homogeneous system AX=0

A

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

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