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Consider the systems, each consisting of m linear equations in n variables.

I. If m < n, then all such systems have a solution
II. If m > n, then none of these systems has a solution
III. If m = n, then there exists a system which has a solution 

Which one of the following is CORRECT?

A

I, II and III are true

B

Only II and III are true

C

Only III is true

D

None of them is true

asked in Linear Algebra by gate

1 Answer

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Only III is true

answered by gate

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