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(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

(0 )2 1436587@9BAC9EDGF4HI 7P5QHRFTSVU0DXW6F4H

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¢¡¤£¦¥ ¡<br />

¡ © ¢ ¥ ¡<br />

<br />

F = (a, b, c, d) ∈ IR 4 | a − b = 0 a = b + d <br />

G = (a, b, c, d) ∈ IR 4 | b − c = 0 d = 0 <br />

¡ ¨ § IR 4 <br />

<br />

<br />

H = 〈(1, 0, 0, 3), (2, 0, 0, 1)〉<br />

F.<br />

¢ <br />

G.<br />

F ∩ G.<br />

<br />

<br />

G ∩ H.<br />

¨¥ ¨<br />

(a, b, c, d) ∈ F<br />

<br />

a − b = 0<br />

a = b<br />

a = b + d<br />

⇐⇒<br />

<br />

a = b + d<br />

£¢<br />

F ¢ <br />

F = {(a, a, c, 0) | a, c ∈ IR}<br />

⇐⇒<br />

a = b<br />

d = 0<br />

= {a(1, 1, 0, 0) + c(0, 0, 1, 0) | a, c ∈ IR}<br />

= 〈(1, 1, 0, 0), (0, 0, 1, 0)〉

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