課程名稱︰管理數學
課程性質︰財金系大二必修
課程教師︰謝承熹
開課系所︰財金系
考試時間︰94年11月7日12:50-13:50
試題 :
1.Show that if B has a column of zeros, then AB has a column of zeros.
2.Let A and B be symmetric matrices. Show that AB is symmetric if and only
if AB=BA.
3.If A is an nxn matrix, show that A-A' is skew symmetric.
1 2 3
4.Find that the inverse matrix of A=(1 1 2).
0 1 2
a^2 a 1
5.A=(b^2 b 1)
c^2 c 1
Show that det(A)=(b-a)(c-a)(b-c).
6.If a and b are nx1 vectors and A is an nxn symmetry matrix, then a'Ab=b'Aa.
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