Question

z1=1+i, z2= 2-3i. Verify the following z1+z2=z1+z2​

Answer 1

Answer:  The verification is done below.

Step-by-step explanation:  We are given the following to complex numbers :

$z_1=1+i,\\\\z_2=2-3i.$

We are to verify that

$z_1+z_2=z_2+z_1.$

We have

$L.H.S.\\\\=z_1+z_2\\\\=(1+i)+(2-3i)\\\\=(1+2)+(1-3)i\\\\=3-2i$

and

$R.H.S.\\\\=z_2+z_1\\\\=(2-3i)+(1+i)\\\\=(2+1)+(-3+1)i\\\\=3-2i.$

Therefore, L.H.S. = R.H.S.

Hence verified.