Yes I got this far, my only problem is that I don't see any logical next step, I may be missing something very obvious, but even after reading more about the definition of scalar product I don't understand what more there is to prove
And I also do not understand the purpose of the matrix A
Homework Statement
This is what we are given in the assignment:
Recall a definition of scalar product on complex numbers. Let A = [[3,1],[1,2]]. Prove that the product as defined by:
* => dot product
u * v := uT * A * conjugate(v)
( = Sum from i,j=1 to 2; uiAijconjugate(vj) )...
Homework Statement
We are given the following subspaces
U := {x E R3: x1 + 2*x2 - x3 = 0}
and
V := {x E R3: x1 - 2*x2 - 2*x3 = 0}
And we need to find a basis for
(i) U
(ii) V
(iii) U n V (not an "n" but a symbol that looks like an upside-down U)
(iv) span(U u V) (not a "u" but a symbol that...