SOLUTION: Let P be the vector space of polynomials in "t" with real coefficients. Show that the inner product < f,g > = the integration from -1 to 1 of f(t)g(t)dt defines an inner product on

Algebra ->  College  -> Linear Algebra -> SOLUTION: Let P be the vector space of polynomials in "t" with real coefficients. Show that the inner product < f,g > = the integration from -1 to 1 of f(t)g(t)dt defines an inner product on      Log On


   

Question 30983This question is from textbook Linear Algebra and Its Applications, Update
: Let P be the vector space of polynomials in "t" with real coefficients. Show that the inner product < f,g > = the integration from -1 to 1 of f(t)g(t)dt defines an inner product on P.
I went to speak with my professor about this but I am still not sure what the question even means. I understand inner products and integration, and how integration can be used to represent inner products, but this question is giving me blanks. Also, if you find the textbook, is this question like Example 7 on page 434 in Chapter 6 only with different numbers> This question is from textbook Linear Algebra and Its Applications, Update

Answer by acerX(62) About Me  (Show Source):
You can put this solution on YOUR website!
this question is asking
(f,g)=int%28+f%28t%29g%28t%29%2C+dt%2C+1%2C+-1+%29
this is more of a precalc/calc question because of the integration.