CBSE  /  Class 12  /  Maths  /  Matrices

  • 1. 
    If A and B are two matrices of the order 3 × m and 3 × n, respectively, and m = n, then the order of matrix (5A – 2B) is

  • m × 3
  • 3 × 3
  • m × n
  • 3 × n

  • 2. 
    If matrix A = [a] where a= {\(_{0 if i = j}^{1 if i ≠ j}\) then A² is equal to

  • I
  • A
  • O
  • None of these

  • 3. 
    If A is matrix of order m × n and B is a matrix such that AB’ and B’A are both defined, then order of matrix B is

  • m × m
  • n × n
  • n × m
  • m × n

  • 4. 
    If A and B are matrices of same order, then (AB’ – BA’) is a

  • skew symmetric matrix
  • null matrix
  • symmetric matrix
  • unit matrix

  • 5. 
    If A is a square matrix such that A² = I, then (A – I)³ + (A + I)³ – 7A is equal to

  • A
  • I – A
  • I + A
  • 3 A

  • 6. 
    For any two matrices A and B, we have

  • AB = BA
  • AB ≠ BA
  • AB = 0
  • None of these

  • 7. 
    The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is

  • 18
  • 512
  • 81
  • None of these

  • 8. 
    A square matrix A = [a]is called a diagonal matrix if a= 0 for

  • i = j
  • i < j
  • i > j
  • i ≠ j

  • 9. 
    A square matrix A = [a] is called a lower triangular matrix if a = 0 for

  • i = j
  • i < j
  • i > j
  • None of these

  • 10. 
    The matrix A = \(\left[\begin{array}{cc}0 & 1 \\1 & 0\end{array}\right]\) is a

  • unit matrix
  • diagonal matrix
  • symmetric matrix
  • skew symmetric matrix
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