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If z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i...

If `z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|,"where "i=sqrt(-1),"then"`

A

z is purely real

B

z is purely imaginary

C

z is mixed complex number, with imaginary part positive

D

`z=3-1`

Text Solution

AI Generated Solution

To solve the problem, we need to find the determinant \( z \) of the given matrix: \[ z = \begin{vmatrix} 3 + 2i & 5 - i & 7 - 3i \\ i & 2i & -3i \\ 3 - 2i & 5 + i & 7 + 3i \end{vmatrix} ...
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