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Matrics — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsMatrics1 Mark
Question
Check whether the following matrices are invertible or not. : $\left[\begin{array}{ll}1 & 2 \\ 3 & 3\end{array}\right]$
✓

Answer

Let $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 3\end{array}\right]$
Then, $|\mathrm{A}|=\left|\begin{array}{ll}1 & 2 \\ 3 & 3\end{array}\right|=3-6=-3 \neq 0$.
$\therefore $ A is a non-singular matrix.
Hence, $A^{-1}$​​​​​​​ exist.

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