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NDA 2015
Exam
NDA
Year
2015
Subject
Mathematics
Chapter
Matrices

NDA 2015 · Mathematics · Matrices

Which one of the following matrices is an elementary matrix?

Which one of the following matrices is an elementary matrix?

Options

  1. A\left[100000001\begin{array}{lll}1 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 1\end{array}\right]
  2. B\left[150010001\begin{array}{lll}1 & 5 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]
  3. C\left[020100001\begin{array}{lll}0 & 2 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 1\end{array}\right]
  4. D\left[100010052\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 5 & 2\end{array}\right]

Correct answer

B. \left[150010001\begin{array}{lll}1 & 5 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]

Step-by-step solution


An elementary matrix has each diagonal element 1. So, option (B) is correct answer.
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