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AP EAMCET202422 May 2024Evening ShiftMathematicsMatricesActual

If , , ( ) are the values of x such that [ array ccc x-2 & 0 & 1 1 & x+3 & 2 2 & 0 & 2 x-1 array ] is a singular matrix then 2 +3 +4 =

Options

  1. A4
  2. B0
  3. C1
  4. D2

Correct answer

A. 4

Step-by-step solution

aligned & | array ccc x-2 & 0 & 1 1 & x+3 & 2 2 & 0 & 2 x-1 array |=0 & (x-2)[(x+3)(2 x-1)]-2(x+3)=0 & x(x+3)(2 x-5)=0 x=0,-3, 5 2 & So, =-3, =0, = 5 2 2 +3 +4 =4 aligned

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