Recent content by SoapyIllusion

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...