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Solved: Proof Prove that the function is an inner product
Chapter 5, Problem 89(choose chapter or problem)
QUESTION:
Proof Prove that the function is an inner product on \(R^{n}\).
\(\langle\mathbf{u}, \mathbf{v}\rangle=c_{1} u_{1} v_{1}+c_{2} u_{2} v_{2}+\cdots+c_{n} u_{n} v_{n}, \quad c_{i}>0\)
Text Transcription:
langle u, v rangle = c_1 u_1 v_1 + c_2 u_2 v_2 + cdots + c_n u_n v_n, c_i > 0
Questions & Answers
QUESTION:
Proof Prove that the function is an inner product on \(R^{n}\).
\(\langle\mathbf{u}, \mathbf{v}\rangle=c_{1} u_{1} v_{1}+c_{2} u_{2} v_{2}+\cdots+c_{n} u_{n} v_{n}, \quad c_{i}>0\)
Text Transcription:
langle u, v rangle = c_1 u_1 v_1 + c_2 u_2 v_2 + cdots + c_n u_n v_n, c_i > 0
ANSWER:Step 1 of 4
The first axiom.
