If z is a complex number and z+(-z)=0, then

Question

If z is a complex number and z+(-z)=0, then (A) (-z) is called additive inverse of z (B) -z is additive identity of z (C) -z is closure of z (D) -z is commutative of z

Tardigrade Admin · Accepted Answer

To every complex number z=a+i b, we have the complex number -a+i(-b) (denoted as -z ), called the additive inverse or negative of z. We observe that z+(-z)=0 (the additive identity).

Q. If $z$ is a complex number and $z + (- z) = 0$ , then

$(- z)$ is called additive inverse of $z$

$- z$ is additive identity of $z$

$- z$ is closure of $z$

$- z$ is commutative of $z$

To every complex number $z = a + ib$ , we have the complex number $- a + i (- b)$ (denoted as $- z$ ), called the additive inverse or negative of $z$ . We observe that $z + (- z) = 0$ (the additive identity).

Q. If z is a complex number and z+(−z)=0, then

(−z) is called additive inverse of z

−z is additive identity of z

−z is closure of z

−z is commutative of z