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AP EAMCET202018 Sep 2020Evening ShiftMathematicsMatricesActual

The rank of ( [ array ccc 2 & 1 & 1 0 & 3 & -1 1 & -1 & 1 array ] ) is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

B. 2

Step-by-step solution

( aligned & aligned A & = [ array ccc 2 & 1 & 1 0 & 3 & -1 1 & -1 & 1 array ] R₃ & 2 R₃-R₁ & = [ array ccc 2 & 1 & 1 0 & 3 & -1 0 & -3 & 1 array ] R₃ & R₃+R₂ & = [ array ccc 2 & 1 & 1 0 & 3 & -1 0 & 0 & 0 array ] aligned aligned ) ( ) Rank of (A=2 ) Hence, option (b) is correct.

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