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v = (2, 1) <br />

2, <br />

<br />

¡ ¨ A = (1, 1, 0) IR 3 <br />

¡ u<br />

<br />

¢ ¢ A<br />

u v<br />

<br />

<br />

159<br />

u = (3, 2, 0) <br />

A ¡<br />

¡ ¨ A ¨ <br />

n <br />

−1 1 A) = ( |A| A<br />

¨¥ ¨ § A =<br />

<br />

<br />

<br />

det A = <br />

<br />

1 2 0<br />

2 1 1<br />

3 2 0<br />

<br />

x<br />

(S) A y<br />

z<br />

B =<br />

1<br />

1<br />

1<br />

<br />

= B<br />

¢ x y z<br />

<br />

<br />

<br />

£ ¡ 1 A <br />

<br />

1 2 0<br />

2 1 1<br />

3 2 0<br />

<br />

<br />

<br />

=<br />

<br />

<br />

<br />

1 1<br />

2 0<br />

<br />

<br />

− 2<br />

<br />

2 1<br />

3 0<br />

<br />

<br />

= 4<br />

det A ¢ ¡ A ¡ ¨ (S) ¡ <br />

<br />

<br />

¢ ¢ <br />

(S) ¡<br />

x =<br />

y =<br />

z =<br />

˛<br />

˛<br />

˛<br />

1 2 0<br />

1 1 1<br />

1 2<br />

det A<br />

0<br />

1 1 0<br />

2 1 1<br />

3 1<br />

det A<br />

0<br />

1 2 1<br />

2 1 1<br />

3 2<br />

det A<br />

1<br />

˛<br />

˛<br />

˛<br />

= 0<br />

4<br />

= 2<br />

4<br />

= 0<br />

= 1<br />

2<br />

= 2 1 = 4 2

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