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Using elementary transformation find inverse of each of the fo

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Using elementary transformation find inverse of each of the following $A = [2537]$

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Using elementary transformation find inverse of each of the following

A = [2537]

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Text solutionVerified

A = [2537]

In order to find inverse by using row elementary transformation we write as

A = I A

[2537] = [1001] A

Apply

R_{1} \to \frac{1}{2} \times R_{1}

[15 \frac{3}{2} 7] = [\frac{1}{2} 0 01] A

Apply

R_{2} \to R_{2} - 5 R_{1}

⎣ ⎡ 10 \frac{3}{2} \frac{- 1}{2} ⎦ ⎤ = ⎣ ⎡ \frac{1}{2} \frac{- 5}{2} 01 ⎦ ⎤ A

Apply

R_{2} \to 2 \times R_{2}

[10 \frac{3}{2} 1] = [\frac{1}{2} 5 0 - 2] A

Apply

R_{1} \to R_{1} - \frac{3}{2} R_{2}

[1001] = [- 7 5 3 - 2] A

∴

A^{- 1} = [- 7 5 3 - 2]

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Question Text	Using elementary transformation find inverse of each of the following $A = [2537]$
Answer Type	Text solution:1
Upvotes	150