If $x, y, z$ are real, then the inverse of
$A = ∣ ∣ x 00 0 y 0 00 z ∣ ∣$

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Levi Discussed

x, y, z

are real, then the inverse of

A = ∣ ∣ x 00 0 y 0 00 z ∣ ∣

14 mins ago

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14 mins ago

Text solutionVerified

∣ A ∣ = x yz

co factor matrix

∣ ∣ yz 00 0 x z 0 00 x y ∣ ∣

A d j . A = ∣ ∣ yz 00 0 x z 0 00 x y ∣ ∣

A^{- 1} = \frac{1}{∣ A ∣} A d j . A

= \frac{1}{x yz} ⎣ ⎡ yz 00 0 x z 0 00 x y ⎦ ⎤ = ⎣ ⎡ x^{- 1} 00 0 y^{- 1} 0 00 z^{- 1} ⎦ ⎤

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Question Text	If $x, y, z$ are real, then the inverse of $A = ∣ ∣ x 00 0 y 0 00 z ∣ ∣$
Answer Type	Text solution:1
Upvotes	150