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JEE Main202116 Mar 2021Morning ShiftMathematicsMatricesActual

Let A = i - i - i i , i = - 1 . Then, the system of linear equations A 8 x y = 8 64 has :

Options

  1. AA unique solution
  2. BInfinitely many solutions
  3. CNo solution
  4. DExactly two solutions

Correct answer

C. No solution

Step-by-step solution

A = i - i - i i A 2 = - 2 2 2 - 2 = 2 - 1 1 1 - 1 A 4 = 2 2 2 - 2 - 2 2 = 8 1 - 1 - 1 1 A 8 = 64 2 - 2 - 2 2 = 128 1 - 1 - 1 1 A 8 x y = 8 64 ⇒ 128 1 - 1 - 1 1 x y = 8 64 ⇒ 128 x - y - x + y = 8 64 ⇒ x - y = 1 16 . . . ( 1 ) and - x + y = 1 2 . . . ( 2 ) ⇒ From ( 1 ) and ( 2 ) : No solution.

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