AP EAMCET201823 Apr 2018Evening ShiftMathematicsMatricesActual

The rank of the following matrix A is A= [ array cccc 1 & -2 & 3 & -4 2 & 9 & 4 & 5 4 & 5 & 10 & -3 1 & 11 & -1 & 9 array

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Correct answer

B. 3

Step-by-step solution

Given matrix A= [ array cccc 1 & -2 & 3 & -4 2 & 9 & 4 & 5 4 & 5 & 10 & -3 1 & 11 & -1 & 9 array ]R₃ R₃- (R₂+2 R₁ ) and R₄ R₄- (R₂-R₁ ) or A= [ array cccc 1 & -2 & 3 & -4 2 & 9 & 4 & 5 0 & 0 & 0 & 0 0 & 0 & -2 & 0 array ] So rank (A)=3 .

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