12th Standard cbse -- Maths - Matrices

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Question - 1

If a matrix has 6 elements, then number of possible orders of the matrix can be

  • A  2
  • B 4
  • C 3
  • D 6

Question - 2

If A = [aij] is a 2 × 3 matrix, such that aij =\(\frac { { (-i+2j) }^{ 2 } }{ 5 } \) .then a23 is

  • A \(\frac15\)
  • B \(\frac25\)
  • C \(\frac95\)
  • D \(\frac{16}{5}\)

Question - 3

 If A = diag(3, -1), then matrix A is

  • A \(\begin{bmatrix} 0 & 3 \\ 0 & -1 \end{bmatrix}\)
  • B \(\begin{bmatrix} -1 & 0 \\ 3 & 0 \end{bmatrix}\)
  • C \(\begin{bmatrix} 3 & 0 \\ 0 & -1 \end{bmatrix}\)
  • D \(\begin{bmatrix} 3 & -1 \\ 0 & 0 \end{bmatrix}\)

Question - 4

Total number of possible matrices of order 2 × 3 with each entry 1 or 0 is

  • A 6
  • B 36
  • C 32
  • D 64

Question - 5

 If A is a square matrix such that A²=A, then (I + A)² – 3A is

  • A I
  • B 2A
  • C 3I
  • D A

Question - 6

If matrices A and B are inverse of each other then

  • A AB = BA
  • B AB = BA = I
  • C AB = BA = 0
  • D AB = 0, BA = I

Question - 7

If A = \(\begin{bmatrix} 0 & 2 \\ 2 & 0 \end{bmatrix}\)

  • A \(\begin{bmatrix} 0 & 2 \\ 2 & 0 \end{bmatrix}\)
  • B \(\begin{bmatrix} 0 & 4 \\ 4 & 0 \end{bmatrix}\)
  • C \(\begin{bmatrix} 4 & 0 \\ 4 & 0 \end{bmatrix}\)
  • D \(\begin{bmatrix} 4 & 0 \\ 0 & 4 \end{bmatrix}\)

Question - 8

The diagonal elements of a skew symmetric matrix are

  • A  all zeroes
  • B are all equal to some scalar k(≠ 0)
  • C can be any number
  • D none of these

Question - 9

If A = \(\begin{bmatrix} 5 & x \\ y & 0 \end{bmatrix}\) and A = A’ then

  • A  x = 0, y = 5
  • B x = y
  • C x + y = 5
  • D  x – y = 5

Question - 10

If a matrix A is both symmetric and skew symmetric then matrix A is

  • A a scalar matrix
  • B a diagonal matrix
  • C a zero matrix of order n × n
  • D a rectangular matrix.
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