Class XII

The number of all possible matrices of order 3×3 with each entry 0 or 1 is
  1. none of these
  2. 81
  3. 512
  4. 18
Let a, b, c, d, u, v be integers. If the system of equations, a x + b y = u, c x + dy = v, has a unique solution in integers, then
  1. ad - bc need not be equal to ±1
  2. ad – bc = - 1
  3. ad – bc = ±1
  4. ad – bc = 1
From the matrix equation AB = AC we can conclude B = C, provided
  1. A is square matrix
  2. A is symmetric matrix
  3. A is non-singular matrix.
  4. A is singular matrix
The system of equations,x + y = 2 and 2x + 2y = 3 has
  1. infinitely many solutions
  2. no solution
  3. a unique solution
  4. finitely many solutions
A square matrix A = [aij]n×nis called a lower triangular matrix if aij = 0for
  1. none of these.
  2. i is less than j
  3. iis greater than j
  4. i = j
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