Problem 3. Let z = a + bi, -z = -a – bi, z1 = c + di, 0 = 0 + 0i and 1=1+ Oi in this problem. Prove the following statem
Posted: Tue Sep 07, 2021 7:29 am
Problem 3. Let z = a + bi, -z = -a – bi, z1 = c + di, 0 = 0 + 0i and 1=1+ Oi in this problem. Prove the following statements: a. Z + 21 = 21 + z. (addition is commutative) b. z.21 = 21.2. (multiplication is commutative) C. 2 + 0 = 0 + z = z. (0 is the additive identity) d. z + (-2) = -2 + z = 0 (-z is the additive inverse of z) e. (-1). z = -2 f. 0.z= 0 z 21 g. Z. z = a2 + b2 h. Z = 21 = c2+d2 i. Z + 21 = ż + Z1