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November 8th, 2017, 07:58 AM  #1 
Newbie Joined: Aug 2017 From: mathmatistan Posts: 9 Thanks: 0  simple true/false regarding inner product spaces
hello, could you check if i marked the correct answers? a)let v=M_{nxn}^R and let A, B \in V, (A,B) = tr(BA) defines an inner product on V. (incorrect, it does not and when i tried to use various inputs got also wrong answer. just not true) b)let V=R^2 and let u=(x_1,x_2) and v=(y_1,y_2) \in V. (u,v)=x_1+y_1 defines an inner product in V (only if x_2 and y_2 are equal to zero, does it considered to be a valid claim or not?) (it's american, but i want to be sure that i got it right so if i wrote something wrong please correct me). thank you very much 
November 28th, 2017, 04:55 AM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 2,874 Thanks: 766  Quote:
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