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MHT CET20239 May 2023Evening ShiftMathematicsMatricesActual

Let A = [ array ccc 1 & 1 & 1 0 & 1 & 3 1 & -2 & 1 array ], B = [ array c 6 11 0 array ] and X - [ array l a b c array ] , if AX = B , then the value of 2 a + b +2 c is

Options

  1. A10
  2. B8
  3. C6
  4. D12

Correct answer

A. 10

Step-by-step solution

aligned & AX = B & [ array ccc 1 & 1 & 1 0 & 1 & 3 1 & -2 & 1 array ] [ array l a b c array ]= [ array c 6 11 0 array ] & a+b+c=6 ...(i) & ~b +3 c =11 ...(ii) & a-2 b+c=0 & i.e., a+c=2 b ...(iii) & From (i) and (ii), we get b=2 & From (ii), c=3 & From (i), a=1 & 2 a + b +2 c =2(1)+2+2(3)=10 & aligned

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