2. Sample Papers
  3. KVPY

KVPY Sample Paper KVPY Stream-SX Model Paper-16

  • question_answer
    If matrix \[A={{[{{a}_{ij}}]}_{3\times 3}},\] matrix \[B={{[{{b}_{ij}}]}_{3\times 3}},\] where \[{{a}_{ij}}+{{a}_{ij}}=0\] and \[{{b}_{ij}}-{{b}_{ij}}=0\] then \[{{A}^{4}}.\,{{B}^{3}}\] is -

    A) Idempotent matrix

    B) Singular matrix

    C) Symmetric matrix

    D) Zero matrix

    Correct Answer: B

    Solution :

    Since, matrix A is skew - symmetric. \[\therefore \left| \,A\, \right|=0\] \[\therefore \left| \,{{A}^{4}}.{{B}^{3}}\, \right|=0\]


You need to login to perform this action.
You will be redirected in 3 sec spinner