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A is an involuntart matrix given by A = [ {matrix} 0 & 1 & -

Question

A is an involuntart matrix given by $A = ⎣ ⎡ 043 1 - 3 - 3 - 1 44 ⎦ ⎤$ , then the inverse of A/2 will be

\frac{A ^{- 1}}{2}

\frac{A}{2}

A^{2}

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A is an involuntart matrix given by

A = ⎣ ⎡ 043 1 - 3 - 3 - 1 44 ⎦ ⎤

, then the inverse of A/2 will be

9 mins ago

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Text solutionVerified

A is involuntary . Hence,

A^{2} = I \Rightarrow A = A^{- 1}

Also ,

(k A)^{- 1} = \frac{1}{k} (A)^{- 1}

\Rightarrow (\frac{1}{2} A)^{- 1} = 2 (A)^{- 1} \Rightarrow 2 A

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Question Text	A is an involuntart matrix given by $A = ⎣ ⎡ 043 1 - 3 - 3 - 1 44 ⎦ ⎤$ , then the inverse of A/2 will be
Answer Type	Text solution:1
Upvotes	150