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Find the inverse of the matrices, if it exists. {bmatrix} 3 &

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Find the inverse of the matrices, if it exists.
$[32107]$

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Find the inverse of the matrices, if it exists.

[32107]

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Text solutionVerified

Let

A = [32107]

We know that

A = I A

∴ A = [32107] = [1001] A

\Rightarrow [1237] = [10 - 1 1] A (R_{1} \to R_{1} - R_{2})

\Rightarrow [1031] = [1 - 2 - 1 3] A (R_{2} \to R_{2} - 2 R_{1})

\Rightarrow [1001] = [7 - 2 - 10 3] A (R_{1} \to R_{1} - 3 R_{2})

∴ A^{- 1} = [7 - 2 - 10 3]

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Question Text	Find the inverse of the matrices, if it exists. $[32107]$
Answer Type	Text solution:1
Upvotes	150