Question

let p2 be an inner product space defined as: = integral from -2 to 2 (f*g) let f=1+x^2 and h=1+mx. find m such that f and h are orthogonal

Answer 1

whats our integral?

Answer 2

you mean g not h right?

Answer 3

integrate and then set the results equal to 0, and solve

Answer 4

I did and I got that the integral equaled 28/3 and therefore there is no m such that the inner product is 0 ?

Answer 5

there is

Answer 6

you wont get 28/3 solve wrt to m