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The number of 3 3 matrices A whose entries are either 0 or 1 and for which the system A [ array l x y z array ]= [ array l 1 0 0 array ] has exactly two distinct solutions, is

Options

  1. A0
  2. B2^9-1
  3. C168
  4. D2

Correct answer

A. 0

Step-by-step solution

Since, A [ array l x y z array ]= [ array l 1 0 0 array ] is linear equation in three variables and that could have only unique, no solution or infinitely many solution. It is not possible to have two solutions. Hence, number of matrices A is zero.

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