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Matrices (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Matrices (p-1)2 Marks
Question
Check whether 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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