Solutions Algebra

Solution) Let u=({u_1},{u_2}) and v=({v_1},{v_2}) be vectors is R^2, and define the function T(u,v)={u_1}{

Question: Let $u=\left( {{u}_{1}},{{u}_{2}} \right)$ and $v=\left( {{v}_{1}},{{v}_{2}} \right)$ be vectors is ${{\mathbb{R}}^{2}}$ , and define the function

T\left( u,v \right)={{u}_{1}}{{v}_{1}}+3{{u}_{1}}{{v}_{2}}+3{{u}_{2}}{{v}_{1}}+10{{u}_{2}}{{v}_{2}}

Does the function define a inner product on ${{\mathbb{R}}^{2}}$ ?

Solution:

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