Being a weblog devoted to a variety of topics. Including Mathematics. And Mathematical Finance. Sometimes with homework.

Thursday, October 8, 2009

question 7.27 part c

Just to clarify what was said in class today, I said to rewrite the equation

c1*u + c2*v = 0


a*(something_1) + b*(something_2)=0

Since something_1 and something_2 are both functions of t (a variable), you can pick any t_0 (a constant) and plug it for t so that something_1 and something_2 become constants. I mentioned that you should make a smart choice for t_0 so algebraically the problem becomes simpler. The important thing is that you can pick ANY VALUE for t_0. After making some choice for t_0, if you find that c1=c2=0, then it follows that u and v are linearly independent.

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