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| 1. |
For two complex numbers z and w it is given that (|z|^2)w — (|w|^2)z = z —w holds. Then show that either z=w or zw* =1 where w* is the conjugate of w. |
| Answer» For two complex numbers z and w it is given that (|z|^2)w — (|w|^2)z = z —w holds. Then show that either z=w or zw* =1 where w* is the conjugate of w. | |