In an under-determined (means No. of equations < No. of variables) system of Linear non-homogeneous eq's -

Options :
  1. We can have only consistent and infinite solution
  2. We can have either inconsistent or consistent and infinite solution
  3. We can have a consistent and unique solution
  4. We can have every possible solution

Answer and Explanation :-

Answer: Option 2


In an under-determined system,either - 1) Rank(A) is not equal to Rank(A|B) OR 2) If Rank(A) is equal to Rank(A|B), Rank(A) will always be less than n So, we will ONLY get infinite no. of solutions.

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