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Inverse of the matrix {bmatrix}1&-23&4{bmatrix} is

Question

Inverse of the matrix $[13 - 2 4]$ is

\frac{1}{10} [13 - 2 4]

\frac{1}{10} [4 - 3 21]

[4 - 3 21]

\frac{1}{10} [4 - 3 - 2 1]

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Inverse of the matrix

[13 - 2 4]

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Text solutionVerified

A

= ∣ ∣ a c b d ∣ ∣

Inverse of

A

= A^{- 1} = \frac{1}{a d - b c} ∣ ∣ d - c - b a ∣ ∣

∴

Inverse of

∣ ∣ 13 - 2 4 ∣ ∣ =

\frac{1}{10} ∣ ∣ 4 - 3 21 ∣ ∣

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