Complex Numbers

Let k be an integer. Solve the following: (a) i 4k (b) i −16k+3 (c) (i 5k−3 )(i −k+1)Solve each of the following equations for z: (a) 21 − 5iz = 2zi (b) 49 + z 2 = 0 (c) z 2 = z(i − 5) (d) z = (1 − z)(1 − 4i) (e) z 2 + zi + 12 = 0Solve the linear system of equations:...