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178 CAPÍTULO 15. ¦£¦£ ££<br />

¢<br />

§ £ ¡ ¢ ¨ ¥ § ¢ ¡<br />

A ¡ n ¨ £¢ A = 0<br />

<br />

<br />

<br />

<br />

−1 T α A A = αn <br />

−1 T A A = αn ) −1 (A<br />

n = α 1<br />

n A = α <br />

<br />

A<br />

β = 0 β = ¡ <br />

0 <br />

A T <br />

(βA) (βA) = det (βA) In ⇐⇒ (βA) (βA) = β n det AIn<br />

⇐⇒ A (βA) = β n−1 (det A) In<br />

⇐⇒ (βA) = β n−1 (det A) InA −1<br />

⇐⇒ (βA) = β n−1 (det A) A −1<br />

⇐⇒ (βA) = β n−1 A<br />

<br />

α =<br />

0<br />

β = 1 α β α <br />

=<br />

(αA) = α n−1 A 1<br />

α A = 1<br />

α<br />

<br />

(αA) <br />

1<br />

α A = α n−1 1 A αn−1 <br />

n−1 A = 1<br />

α n−1<br />

A<br />

α A = n−1<br />

αn−1 2<br />

A) = ( 2<br />

A) (

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