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Find the inverse of each of the matrices , if it exists. {bma

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Find the inverse of each of the matrices , if it exists.
$[2111]$

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Find the inverse of each of the matrices , if it exists.

[2111]

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Text solutionVerified

Let

A = [2111]

We know that

A = I A

∴ [2111] = [1001] A

\Rightarrow [1101] = [10 - 1 1] A (R_{1} \to R_{1} - R_{2})

\Rightarrow [1001] = [1 - 1 - 1 2] A (R_{2} \to R_{2} - R_{1})

∴ A^{- 1} = [1 - 1 - 1 2]

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Question Text	Find the inverse of each of the matrices , if it exists. $[2111]$
Answer Type	Text solution:1
Upvotes	150