1 Each of the following sets X ARE NOT vector spaces over

Last updated: 8/10/2023

1 Each of the following sets X ARE NOT vector spaces over the given field F and with the given operations List with justification all vector space axioms failed by the sets a X is the open upper half plane in R X C 8 d and both vector addition and scalar multiplication are the same as in R b The set X R2 over the field F are given by R U 0 R where vector addition and scalar multiplication a d and C a ca c X Rover F Z2 where vector addition is the same as in R and scalar multiplication is given by 0 x 0 and 1 x x