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Given A={bmatrix} 2 & -3 -4 & 7{bmatrix}, compute A^{-1} ans

Question

Given $A = [2 - 4 - 3 7]$ , compute $A^{- 1}$ ans show that $2 A^{- 1} = 9 I - A$ .

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Chloe Discussed

Given

A = [2 - 4 - 3 7]

, compute

A^{- 1}

ans show that

2 A^{- 1} = 9 I - A

6 mins ago

Discuss this question LIVE

6 mins ago

Text solutionVerified

A = [2 - 4 - 3 7]

∣ A ∣ = 14 - 12 = 2

A^{- 1} = \frac{co f a c t or ma t r i x o f A}{∣ A ∣}

= \frac{1}{2} [7432]

9 I - A = [9009] -

[2 - 4 - 3 7]

= [7432]

= 2 A^{- 1}

Therefore,

2 A^{- 1} = 9 I - A

Proved.

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Question Text	Given $A = [2 - 4 - 3 7]$ , compute $A^{- 1}$ ans show that $2 A^{- 1} = 9 I - A$ .
Answer Type	Text solution:1
Upvotes	150