Linear Algebra : Cⁿ(complex number)is a vector space over field R(real number).
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can i get some help please .......
what is the question asking to be found about the vector space?
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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
you then use matrix algebra to show Z <=> z in closure of addition and multiplication