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NDA 2018
Exam
NDA
Year
2018
Subject
Mathematics
Chapter
Matrices

NDA 2018 · Mathematics · Matrices

Consider the following in respect of matrices A, B and C of same...

Consider the following in respect of matrices A,B\mathrm{A}, \mathrm{B} and C of same order: 1. (A+B+C)′=A′+B′+C′2.(\mathrm{A}+\mathrm{B}+\mathrm{C})^{\prime}=\mathrm{A}^{\prime}+\mathrm{B}^{\prime}+\mathrm{C}^{\prime} 2.(AB\mathrm{AB})^{\prime}=A′\mathrm{A}^{\prime}\mathrm{B}^{\prime}3.3.(ABC\mathrm{ABC})^{\prime}=C′′\mathrm{C}^{\prime \prime}\mathrm{B}^{\prime} A′\mathrm{A}^{\prime} Where \mathrm{A}^{\prime} is the transpose of the matrix A. Which of the above are correct?

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1,2 and 3

Correct answer

C. 1 and 3 only

Step-by-step solution

By property, statement 1 and 3 are correct.
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