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Question

Match the possible scenarios for system of linear equations in 3 variables.

  1. Underdetermined system                            i) No solution
  2. Over determined system                             ii) Single solution

      c. Exactly determined system                         iii) Infinite solution


  1. a – i,ii; b-i,ii; c-ii, iii

  2. a – i,ii; b-i,ii; c-ii, iii

  3. a – i,iii; b-i,ii, iii; c-i, ii, iii

  4. a – iii, b-i, ii; c-i, ii, iii


Solution

The correct option is C

a – i,iii; b-i,ii, iii; c-i, ii, iii


An Underdetermined system in 3 variable can’t have a single solution. It can either have no solution or infinite solution.

An overdetermined system can have no solution, single solution or infinite solution.

An exactly determined system can have no solution, exactly one solution or infinite solutions possible.

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