《二零一六-二零一六南京航空航天大学高等代数》.pdf
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⎛ 3 0 8 ⎞
⎜ ⎟
A ⎜ 3 a 6 ⎟α (−2, 1, 1)T A A*
⎜⎝−2 b −5⎠⎟
λ T
a, b
λ
A A A
V L (α , α ), V L (β , β ) R 4
1 1 2 2 1 2
α (1, 0, 1, 0)T , α (−1, 0, 0, 1)T ; β (1, 1, 0, 1)T , β (4, 1, 4, 1)T .
1 2 1 2
2 ×4 A V AX 0 X (x , x , x , x )T
1 1 2 3 4
R 4 γ ∉V γ ∉V γ
1 2
f (x ,x , x ) a(x 2 +x 2 +x 2 ) +2b(x x +x x +x x )
1 2 3 1 2 3 1 2 1 3 2 3
2 2 a,b C
X CY 3y 2 +3y 3
a x +a x + +a x 0
⎧ 11 1 12 2 1n n
⎪
a x +a x + +a x 0
⎪ 21 1 22 2 2n n
(1) ⎨
⎪
⎪ + + + 0
a x a x a x
⎩ s 1 1 s 2 2 sn n
n β (b , b , , b )T ≠0 α (a , a , , a )T ( i 1, 2, , s )
1 2 n i i1 i 2 in
β β α , α , , α
1 2 s
b x +b x ++b x 0 β α , α , , α
1 1 2 2 n n 1 2 s
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