CBSE  /  Class 12  /  Maths  /  Matrices
  • 1. 
    \(\left|\begin{array}{lll} 3 & 4 & 5 \\0 & 2 & 3 \\0 & 0 & 7\end{array}\right|\) = A then |A| = ?

  • 40
  • 50
  • 42
  • 15
  • 2. 
    For any unit matrix I

  • I² = I
  • |I| = 0
  • |I| = 2
  • |I| = 5
  • 3. 
    A matrix A = [a] is said to be symmetric if

  • a= 0
  • a= a
  • a= a
  • a= 1
  • 4. 
    A = [a] is a square matrix if

  • m = n
  • m < n
  • m > n
  • None of these
  • 5. 
    If A and B are square matrices then (AB)’ =

  • B’A’
  • A’B’
  • AB’
  • A’B’
  • 6. 
    If \(\left|\begin{array}{ll}x & 8 \\3 & 3\end{array}\right|\) = 0, the value of x is

  • 3
  • 8
  • 24
  • 0
  • 7. 
    If A = \(\left[\begin{array}{cc}α & 2 \\2 & α\end{array}\right]\) and |A³| = 25 then α is

  • ±3
  • ±2
  • ±5
  • 0
  • 8. 
    A² – A + I = 0 then the inverse of A

  • A
  • A + I
  • I – A
  • A – I
  • 9. 
    If a matrix is both symmetric matrix and skew symmetric matrix then

  • A is a diagonal matrix
  • A is zero matrix
  • A is scalar matrix
  • None of these
  • 10. 
    Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is

  • 9
  • 27
  • 81
  • 512
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