Page 318 - A Course in Linear Algebra with Applications

302 Chapter Eight: Eigenvectors and Eigenvalues

2
2
Vi = a (-3yi + y 2), y 2 = a (y x - y 2) where a = y/gjl and g
is the acceleration due to gravity.
(b) Solve the linear system in (a) for y\ and y 2. [Note:
2
the general solution of the differential equation y" + a y = 0
is y = c\ cos ax + c 2 sin ax].
9. In Example 8.3.4 assume that Division A consists of m
equal columns. Suppose that Division B is able to attack
each column of A in turn. Show that Division B will win the
s
battle provided that bo > - ^-.