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12th Standard Business Maths Applications of Matrices and Determinants English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

12th Standard EM

    Reg.No. :
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Business Maths

Time : 00:10:00 Hrs
Total Marks : 10

    Answer all the questions

    10 x 1 = 10
  1. The rank of m×n matrix whose elements are unity is

    (a)

    0

    (b)

    1

    (c)

    m

    (d)

    n

  2. The rank of the unit matrix of order n is

    (a)

    n −1

    (b)

    n

    (c)

    n +1

    (d)

    n2

  3. IfA =\(\left( \begin{matrix} 1 \\ 2 \\ 3 \end{matrix} \right) \)  then the rank of AAT is

    (a)

    0

    (b)

    1

    (c)

    2

    (d)

    3

  4. The rank of the diagonal matrix\(\left( \begin{matrix} 1 & & \\ & 2 & \\ & & -3 \end{matrix}\\ \quad \quad \quad \quad \quad \quad \quad \begin{matrix} 0 & & \\ & 0 & \\ & & 0 \end{matrix} \right) \)

    (a)

    0

    (b)

    2

    (c)

    3

    (d)

    5

  5. In a transition probability matrix, all the entries are greater than or equal to

    (a)

    2

    (b)

    1

    (c)

    0

    (d)

    3

  6. The system of equations 4x+6y=5, 6x+9y=7 has

    (a)

    a unique solution

    (b)

    no solution

    (c)

    infinitely many solutions

    (d)

    none of these

  7. Cramer’s rule is applicable only to get an unique solution when

    (a)

    \({ \triangle }_{ z }\neq 0\)

    (b)

    \({ \triangle }_{ x }\neq 0\)

    (c)

    \({ \triangle }_\neq 0\)

    (d)

    \({ \triangle }_{ y }\neq 0\)

  8. The rank of an n x n matrix each of whose elements is 2 is

    (a)

    1

    (b)

    2

    (c)

    n

    (d)

    n2

  9. If \(\left| \begin{matrix} 2x & 5 \\ 8 & x \end{matrix} \right| =\left| \begin{matrix} 6 & -2 \\ 7 & 3 \end{matrix} \right| \) then x =

    (a)

    3

    (b)

    ± 3

    (c)

    ± 6

    (d)

    6

  10. If A, B are two n x n non-singular matrices, then

    (a)

    AB is non-singular

    (b)

    AB is singular

    (c)

    (AB)-I = A-1 B-1

    (d)

    (AB)-1I does not exit

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TN 12th Standard EM Business Maths free Online practice tests

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