\(\left|\begin{array}{lll} 3 & 4 & 5 \\0 & 2 & 3 \\0 & 0 & 7\end{array}\right|\) = A then |A| = ?
  • 40
  • 50
  • 42
  • 15
For any unit matrix I
  • I² = I
  • |I| = 0
  • |I| = 2
  • |I| = 5
A matrix A = [a] is said to be symmetric if
  • a = 0
  • a = a
  • a = 1
  • None of the above
A = [a] is a square matrix if
  • m = n
  • m < n
  • m > n
  • None of these
If A and B are square matrices then (AB)’ =
  • B’A’
  • A’B’
  • AB’
  • A’B’
If \(\left|\begin{array}{ll}x & 8 \\3 & 3\end{array}\right|\) = 0, the value of x is
  • 3
  • 8
  • 24
  • 0
If A = \(\left[\begin{array}{cc}α & 2 \\2 & α\end{array}\right]\) and |A³| = 25 then α is
  • ±3
  • ±2
  • ±5
  • 0
A² – A + I = 0 then the inverse of A
  • A
  • A + I
  • I – A
  • A – I
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
Total number of possible matrices of order 3 × 3 with each entry 2 or 0 is
  • 9
  • 27
  • 81
  • 512
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
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
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
If A and B are matrices of same order, then (AB’ – BA’) is a
  • skew symmetric matrix
  • null matrix
  • symmetric matrix
  • unit matrix
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
For any two matrices A and B, we have
  • AB = BA
  • AB ≠ BA
  • AB = 0
  • None of these
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is
  • 18
  • 512
  • 81
  • None of these
A square matrix A = [a]is called a diagonal matrix if a= 0 for
  • i = j
  • i < j
  • i > j
  • i ≠ j
A square matrix A = [a] is called a lower triangular matrix if a = 0 for
  • i = j
  • i < j
  • i > j
  • None of these
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
0 h : 0 m : 1 s

Answered Not Answered Not Visited Correct : 0 Incorrect : 0