Showing That a Function Is an Inner Product In Exercises 14, show that the function

Chapter 5, Problem 1

(choose chapter or problem)

Showing That a Function Is an Inner Product In Exercises 1 - 4, show that the function defines an inner product on \(R^{2}\), where \(\mathrm{u}=\left(u_{1}, u_{2}\right)\) and \(\mathrm{v}=\left(v_{1}, v_{2}\right)\).

\(\langle\mathbf{u}, \mathbf{v}\rangle=3 u_{1} v_{1}+u_{2} v_{2}\)

Text Transcription:

R^2

u = (u_1, u_2)

v = (v_1, v_2)

langle u, v rangle = 3u_1 v_1 + u_2 v_2