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BITSAT2023MathematicsMatricesActual

If A= [ array ccc 0 & c & -b -c & 0 & a b & -a & 0 array ] and B= [ array ccc a^2 & a b & a c a b & b^2 & b c a c & b c & c^2 array ] , then A B is equal to

Options

  1. AB
  2. BA
  3. CO
  4. DI

Correct answer

C. O

Step-by-step solution

aligned & A B= [ array ccc 0 & c & -b -c & 0 & a b & -a & 0 array ] [ array ccc a^2 & a b & a c a b & b^2 & b c a c & b c & c^2 array ] & A B= [ array ccc a b c-a b c & b^2 c-b^2 c & b c^2-b c^2 -a^2 c+a^2 c & -a b c+a b c & -a c+a c a^2 b-a^2 b & a b^2-a b^2 & a b c-a b c array ] & = [ array lll 0 & 0 & 0 0 & 0 & 0 0 & 0 & 0 array ]= O & aligned

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