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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Matrices

NDA 2013 · Mathematics · Matrices

If 2 A=( array ll 2 & 1 3 & 2 array ) , then what is A^ -1 equal to?

If 2 \mathrm{ A}=\left(2132\begin{array}{ll}2 & 1 \\ 3 & 2\end{array}\right), then what is A−1\mathrm{A}^{-1} equal to?

Options

  1. A\left(2−1−32\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)
  2. B\frac{1}{2}\left(2−1−32\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)
  3. C\frac{1}{4}\left(2−1−32\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)
  4. DNone of the above

Correct answer

B. \frac{1}{2}\left(2−1−32\begin{array}{cc}2 & -1 \\ -3 & 2\end{array}\right)

Step-by-step solution

The correct option is 'B'.
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