Homework Statement
a) A pure resistance and a pure inductance are connected in series across a 100 V(rms) AC line. An AC voltmeter gives the same reading when connected across either the R or the L. What does it read? (Note: Meters read rms values.)
b) The magnitudes of R and L are...
Homework Statement
Use Fermat's Little Theorem to calculate 18^{802}(mod29)
Homework Equations
Fermat's Little Theorem: a^{p-1}\equiv1(modp)
where in this case, a=18 and p=29
The Attempt at a Solution
By FLT, I found that 18^{28}\equiv1(mod29)
So...
I just need to develop a proof using the vector space axioms and the two definitions listed above that if V is a complex vector space, then V is also a real vector space. Not sure how to go about proving it directly though...
Homework Statement
Hello, I'm having a little difficulty with this proof.
Prove: If V is a complex vector space, then V is also a real vector space.
Homework Equations
Definition 1: A vector space V is called a real vector space if the scalars are real numbers.
Definition 2: A vector...