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## Homework Statement

let R* be the group of nonzero real numbers under multiplication. then the determinant mapping A-> det(A) is a homomorphism from GL(2,R) to R*. the kernel of the determinant mapping is SL(2,R).

i am suppose to show that this is a homomorphism but i have no idea where to go and what to do

## Homework Equations

det(AB) = det(A)det(B)