The complex numbers $z=2-3i$ and $w=-1+4i$ are given. Use conjugate properties to find each expr

Question

The complex numbers $z=2-3i$ and $w=-1+4i$ are given. Use conjugate properties to find each expression in the form $a+bi$, showing the property used before substituting. $(3z-2w^*)^*$[2] $(z^*+w)^*$[2] $(iz)^*$ and $iz^*$. Explain why these values differ.[3]

Accepted Answer

(a) $8+i$ (b) $1-7i$ (c) $(iz)^*=3-2i$, $iz^*=-3+2i$; $i$ is not real.

Conjugating a linear combination

Conjugating a linear combination

Solution:

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