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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. : $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
✓

Answer

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

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