Showing That a Function Is Not an Inner Product In Exercises 1316, show that the
Chapter 5, Problem 15(choose chapter or problem)
Showing That a Function Is Not an Inner Product In Exercises 13-16, show that the function does not define an inner product on \(R^{3}\), where \(\mathrm{u}=\left(u_{1}, u_{2}, u_{3}\right)\) and \(\mathrm{v}=\left(v_{1}, v_{2}, v_{3}\right)\)
\(\langle\mathbf{u}, \mathbf{v}\rangle=u_{1}^{2} v_{1}^{2}+u_{2}^{2} v_{2}^{2}+u_{3}^{2} v_{2}^{2}\)
Text Transcription:
R^3
u = (u_1, u_2, u_3)
v = (v_1, v_2, v_3)
langle u, v rangle = u_1^2 v_1^2 + u_2^2 v_2^2 + u_3^2 v_2^2
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