Question

Linear Algebra : Cⁿ(complex number)is a vector space over field R(real number).

Answer 1

can i get some help please .......

Answer 2

what is the question asking to be found about the vector space?

Answer 3

i need proof....

Answer 4

i've only ever bothered proving this as part of a relation to a matrix. I think you have to show it's closed under addition and multiplication and to itself, using z = a +ib with a and b in the reals, show for complex y and z, y+z and y*z are complex.

I've only ever bothered showing by relation to the matrix:
Z = [a -b] <=> z = a+ib
[b a]

you then use matrix algebra to show Z <=> z in closure of addition and multiplication

Answer 5

oh and scalar

Answer 6

thank you