Class XII

If A and B are two matrices such that A + B and AB are both defined, then
  1. number of columns of A = number of ros of B.
  2. A, B are square matrices not necessarily of same order
  3. A, B are square matrices of same order
  4. A and B can be any matrices
Two matrices A and B are multiplicative inverse of each other only if
  1. AB = BA = I
  2. AB = O, BA = I
  3. AB = BA
  4. AB = BA = O
The system of equations, x + 2y = 5 ,4x + 8y = 20 has
  1. infinitely many solutions
  2. a unique solution
  3. none of these.
  4. no solution
A square matrix A=[aij]n×n is called an upper triangular if aij=0 for
  1. i is greater than j
  2. i = j
  3. none of these
  4. i is less than j
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
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