[作業] 經濟數學的問題
學校:東海
科目: 經濟動態分析方法與應用
教科書 Alpha Chiang
題目:
Given a Qutratic Form u'Du, Where D is 2X2
the characteristic equation of D can be written as
| d11-r d12 |
| d21 d22-r| =0 (d12=d21)
Expand the determinant ; express the root of this equation by use of
the qutratic formula; and deduce the following
(a) No imagianry number can occur r1 and r2
(b). to have repeated roots , matrix D must be in the form of [ c 0 ]
[ 0 c ]
(這是一個矩陣)
(c) to have either positive or negatice semidefinateness ,
the discriminant of the quadratic form may vanish , that is,
|D|=o is possibele
我的想法: 請問第一個主要問題 將矩陣的determine值張開
是直接求determine的值嗎
B和C題的題意不大了解 能否請各位高手解釋一下..
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