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MATRICES — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSMATRICES1 Mark
Question
Choose the correct answer from the given four options.
The matrix $\begin{bmatrix}1&0&0\\0&2&0\\0&0&4\end{bmatrix}$ is a:
  1. Identity matrix.
  2. Symmetric matrix.
  3. Skew-symmetric matrix.
  4. None of these.
✓

Answer

  1. Symmetric matrix.
Solution:
We have $\text{A}=\begin{bmatrix}1&0&0\\0&2&0\\0&0&4\end{bmatrix}$
$\therefore\ \text{A}'=\text{A}$
So, the given matrix is a symmetric matrix.

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