Question
Linear algebra: 12. (5 points) Show that ((ui, U2, U3), (01, 02, 03)) = U101 -...
linear algebra:
12. (5 points) Show that ((ui, U2, U3), (01, 02, 03)) = U101 - U2U2 - UzU3 is not an inner product on R3.
Answers
It doesn't satisfy one condition of inner product which is given below in details. That's why it is not an inner product.
<(ly, ų, ug), (1,02, )) = we run 2 - ug 03 product that me know ichnere Fore the Let Then ca, a> o if azo. x=(1,1,1) (a,0) = {(1,1,1), (1,1,1) = 1-1-1 -- 1 co it violest the the condition (x,x)o if so ato So L(41, 42, 4), (1, Uqus)) = 44, - hq Cq - Ug Us product. is not an inner
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