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第18题
α=
a1(1,1,...,1,1,1)T+
(a2-a1)(0,1,...,1,1,1)T+
(a3-a2)(0,0,1...,1,1,1)T+
...+
(an-1 - an-2)(0,0,0...,0,1,1)T+
(an - an-1)(0,0,...,0,0,1)T+
=a1αn+
(a2-a1)αn-1+
(a3-a2)αn-2+
...+
(an - an-1)α1
因此α坐标是
(an - an-1, ... , a3-a2, a2-a1, a1)
α=
a1(1,1,...,1,1,1)T+
(a2-a1)(0,1,...,1,1,1)T+
(a3-a2)(0,0,1...,1,1,1)T+
...+
(an-1 - an-2)(0,0,0...,0,1,1)T+
(an - an-1)(0,0,...,0,0,1)T+
=a1αn+
(a2-a1)αn-1+
(a3-a2)αn-2+
...+
(an - an-1)α1
因此α坐标是
(an - an-1, ... , a3-a2, a2-a1, a1)
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