[線代] det跟linearly dependent
已知 a(1)a(4) = a(2)a(3)
[√[a(1)a(4)] 0 0 a(1) ]
[ 0 √[a(1)a(4)] a(2) 0 ]
[ 0 a(3) √[a(1)a(4)] 0 ]
[ a(4) 0 0 √[a(1)a(4)]]
第1列和第4列為linearly dependent
第2列和第3列為linearly dependent
書上寫
([√[a(1)a(4)] a(2) ])
det([ a(3) √[a(1)a(4)]]) = 0
([√[a(1)a(4)] a(1) ])
det([ a(4) √[a(1)a(4)]]) = 0
請問為什麼可以這樣判斷?
謝謝
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