Showing That a Function Is an Inner Product In Exercises 58, show that the function
Chapter 5, Problem 6(choose chapter or problem)
Showing That a Function Is an Inner Product In Exercises 5 - 8, show that the function defines an inner product on \(R^{3}\), where \(u=\left(u_{1}, u_{2}, u_{3}\right)\) and \(v=\left(v_{1}, v_{2}, v_{3}\right)\).
\(\langle\mathbf{u}, \mathbf{v}\rangle=u_{1} v_{1}+2 u_{2} v_{2}+u_{3} v_{3}\)
Text Transcription:
R^3
u = (u_1, u_2, u_3)
v = (v_1, v_2, v_3)
langle u, v rangle = u_1 v_1 + 2u_2 v_2 + u_3 v_3
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