AP EAMCET202319 May 2023Morning ShiftMathematicsMatricesActual

The rank of the matrix [ array ccc 1 & 0 & 2 0 & 1 & -2 1 & -1 & 4 2 & 2 & 8 array ] is

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Correct answer

C. 3

Step-by-step solution

Let A aligned = [ array ccc 1 & 0 & 2 0 & 1 & -2 1 & -1 & 4 2 & 2 & 8 array ] & [ array ccc 1 & 0 & 2 0 & 1 & -2 0 & -1 & 2 0 & 2 & 4 array ] [R₃ R₃-R₁ ; R₄ R₄-2 R₁ ] & [ array ccc 1 & 0 & 2 0 & 1 & -2 0 & 0 & 0 0 & 0 & 8 array ] [R₃ R₃+R₂ ; R₄ R₄-2 R₂ ] aligned Number of non-zero rows is 3 Rank of A=3

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