I can't solve this set of equations, please help me.
$(1+i)z_1 + (1-i)z_2 = 1+i$ $(1-i)z_1 + (1+i)z_2 = 1+3i$
I can't solve this set of equations, please help me.
$(1+i)z_1 + (1-i)z_2 = 1+i$ $(1-i)z_1 + (1+i)z_2 = 1+3i$
One way is to multiply the top equation through by $(1-i)$ and the bottom one by $(1+i)$ to give
$2z_1 - 2iz_2 = 2\qquad\qquad$ $2z_1 + 2iz_2 = -2+4i$
You can now eliminate one of the unknowns and find the other. You can then substitute this back and get the complete solution.
Hints: Gaussian Elimination and Cramer's Rule.