Class XII

If A and B are two non-zero square matrices such that AB = 0, then
  1. none of these.
  2. either of them is singular
  3. both A and B are singular
  4. neither matrix is singular
If A is a matrix of order 3 × 4, then each row of A has
  1. 12 elements
  2. 3 elements
  3. 4 elements
  4. 7 elements.
If P is of order 2 × 3and Q is of order 3 × 2, then PQ is of order
  1. 2x2
  2. 3x3
  3. 2x3
  4. 3x2
The system of equations x + 2y = 11,-2 x – 4y = 22 has
  1. no solution
  2. only one solution
  3. infinitely many solutions.
  4. finitely many solution
If A and B are symmetric matrices of the same order, then
  1. AB is symmetric matrix
  2. AB – BA is a symmetric matrix
  3. A – B is a skew-symmetric matrix
  4. AB + BA is a symmetric matrix
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