Assignment:
Demonstrate (check the properties) that the following function is an inner product in R^3. (Call R^3 with this inner product Moorean 3-space). Let u=(u_1,u_2,u_3) and v=(v_1,v_2,v_3). Then
= uAv^T, where A=[ 2 0 0 ]
[ 0 1 0 ]
[ 0 0 2 ]. Show work.
Provide complete and step by step solution for the question and show calculations and use formulas.