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If A = | {matrix} 3 & 10 2 & 7 {matrix} |, then write A^{-1}

Question

If $A = ∣ ∣ 32107 ∣ ∣$ , then write $A^{- 1}$

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Benjamin Discussed

A = ∣ ∣ 32107 ∣ ∣

, then write

A^{- 1}

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Given ;

A = [32107]

\therefore \ \ \ \ \ adj \ A = \begin{bmatrix}7 & -2 \\-10 & 3\end{bmatrix}^T = \begin{bmatrix}7 & -10 \\-2 & 3\end{bmatrix}

Also

∣ A ∣ = 21 - 20 = 1 \neq = 0

Hence,

A^{- 1}

is possible

∴ A^{- 1} = \frac{1}{∣ A ∣} [7 - 2 - 10 3]

∴ A^{- 1} = \frac{1}{1} [7 - 2 - 10 3] = [7 - 2 - 10 3]

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