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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices1 Mark
MCQ
If $A$ is a square matrix, then $AA$ is $a:$
  • A
    Skew$-$symmetric matrix.
  • B
    Symmetric matrix.
  • C
    Diagonal matrix.
  • ✓
    None of these.
✓

Answer

Correct option: D.
None of these.
Given$:\ A$ is a square matrix.
Let $\text{A}=\begin{bmatrix}1&2\\1&0\end{bmatrix}$
$\Rightarrow\text{AA}=\begin{bmatrix}1&2\\1&0\end{bmatrix}\begin{bmatrix}1&2\\1&0\end{bmatrix}=\begin{bmatrix}3&2\\1&2\end{bmatrix}$

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