Solution: Showing That a Function Is an Inner Product In
Chapter 5, Problem 3(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 \(\mathrm{v}=\left(v_{1}, v_{2}\right)\).
\(\langle\mathbf{u}, \mathbf{v}\rangle=\frac{1}{2} u_{1} v_{1}+\frac{1}{4} u_{2} v_{2}\)
Text Transcription:
R^2
u = (u_1, u_2)
v = (v_1, v_2)
langle u, v rangle = 1 / 2 u_1 v_1 + 1 / 4 u_2 v_2
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