12th Class Mathematics Matrices Question Bank

done Assertion And Reason (MCQs) - Matrices Total Questions - 7

• question_answer1)

  Directions : (1 - 7)

  The following questions consist of two statements, one labelled as "Assertion [A] and the other labelled as Reason [R]". You are to examine these two statements carefully and decide if Assertion [A] and Reason [R] are individually true and if so, whether the Reason [R] is the correct explanation for the given Assertion [A]. Select your answer from following options.

  Assertion [A]: is an identity matrix.

  Reason [R]: A matrix \[A=\left[ {{a}_{ij}} \right]\] is an identity matrix if .

   
  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
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• question_answer2)

  Assertion [A]:Matrix  is a column matrix.

  Reason [R]: A matrix of order \[m\times 1\] is called a column matrix.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
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• question_answer3)

  Assertion [A]:Transpose of the matrix \[A=\left[ 2\,\,5\,\,-1 \right]\], is column matrix.

  Reason [R]: Transpose of a matrix of order \[m\times n\] is a matrix of same order.

   
  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
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• question_answer4)

  Assertion [A]: For the matrix

  Reason [A]: For any matrix A, AI = IA = A.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
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• question_answer5)

  Assertion [A]: Matrix  is a skew symmetric matrix.

  Reason [R]: A matrix A is skew symmetric if \[A'=A\].

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
  View Solution play_arrow

• question_answer6)

  Assertion [A]: Matrix  is a symmetric matrix.

  Reason [R]: A matrix A is symmetric if \[A'=-A\].

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
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• question_answer7)

  Assertion [A]: For two matrices and \[{{\left( A+B \right)}^{2}}={{A}^{2}}+2AB+{{B}^{2}}\].

  Reason [R]: For given two matrices A and B, AB = BA.

  A)
  Both A and R are individually true and R is the correct explanation of A. done clear
  B)
  Both A and R are individually true and R is not the correct explanation of A. done clear
  C)
  'A' is true but 'R' is false done clear
  D)
  'A' is false but 'R' is true done clear
  E)
  Both A and R are false. done clear
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