Class XII

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
If the system of equationsx + 4 ay + az = 0, x + 3by + bz = 0 andx + 2 cy +cz = 0 have a non-zero solution,then a, b, c are in
  1. none of these
  2. A.P
  3. H.P
  4. G.P
The system of linear equations ax+ b y= 0, cx + dy = 0 has a non-trival solution if
  1. ac + bd = 0
  2. ad – bc = 0
  3. ad –bc = 0.
  4. ad – bc < 0
If A and B are symmetric matrices of order n ( A≠ B), then
  1. A + B is a zero matrix.
  2. A + B is a diagonal matrix
  3. A + B is skew symmetric
  4. A + B is symmetric
The value ofλλ, for which system of equations. x + y + z = 1, x + 2y + 2z = 3, x + 2y + λλz = 4, have no solution is
  1. 1
  2. 2
  3. 3
  4. 0
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