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NDA2015MathematicsMatricesActual

If A= [ array ccc 1 & 0 & -2 2 & -3 & 4 array ] , then the matrix X for which 2 X+3 A=0 holds true is

Options

  1. A[ array ccc - 3 2 & 0 & -3 -3 & - 9 2 & -6 array ]
  2. B[ array ccc 3 2 & 0 & -3 3 & - 9 2 & -6 array ]
  3. C[ array ccc 3 2 & 0 & 3 3 & 9 2 & 6 array ]
  4. D[ array rrr - 3 2 & 0 & 3 -3 & 9 2 & -6 array ]

Correct answer

D. [ array rrr - 3 2 & 0 & 3 -3 & 9 2 & -6 array ]

Step-by-step solution

aligned & 2 X +3 ~A =0 & x = -3 2 ~A & x = -3 2 [ array ccc 1 & 0 & -2 2 & -3 & 4 array ] & X = [ array ccc - 3 2 & 0 & 3 -3 & 9 2 & -6 array ] aligned

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