Showing That a Function Is Not an Inner Product In Exercises 1316, show that the
Chapter 5, Problem 13(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 \(\mathrm{v}=\left(v_{1}, v_{2}, v_{3}\right)\)
\(\langle\mathbf{u}, \mathbf{v}\rangle=-u_{1} u_{2} u_{3}\)
Text Transcription:
R^3
u = (u_1, u_2, u_3)
v = (v_1, v_2, v_3)
langle u, v rangle = -u_1 u_2 u_3
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