MathDB

Let

Z,W,\lambda

be complex numbers,

|\lambda|\neq1

. Which statements are correct about the equation

\overline{Z}-\lambda Z=W

? I.

Z=\frac{\overline{\lambda}W+\overline{W}}{1-|\lambda|^2}

is a solution to the equation. II. The equation has only one solution. III. The equation has two solutions. IV. The equation has infinitely many solutions.

\text{(A)}

Only I and II.

\text{(B)}

Only I and III.

\text{(C)}

Only I and IV.

\text{(D)}

None of

\text{(A)(B)(C)}

Problem Statement