Are the functions f,g, and h given below linearly independent?
f(x)=0 g(x)=cos3x h(x)=sin3x
If they are not linearly independent, find a nontrivial solution to the equation below. Be sure you can justify your answer.
Are the functions linearly independent?
2015-02-23 6:03 am
回答 (2)
2015-02-23 7:11 am
Not linearly independent.
Set C1=2 C2=0 C3=0
Then C1(0)+C2(cos 3x)+C3(sin 3x)=0 and since c1 nonzero, then the solution is nontrivial.
Set C1=2 C2=0 C3=0
Then C1(0)+C2(cos 3x)+C3(sin 3x)=0 and since c1 nonzero, then the solution is nontrivial.
2015-02-23 6:11 am
obviously NO , the zero function is never in a lin. ind. set
and what equation ?...do you read your query before asking ?
and what equation ?...do you read your query before asking ?
收錄日期: 2021-04-15 18:19:18
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