Teaching UP PGT Mock Test Series 2024 Mathematics Complex Numbers Properties of Complex Numbers

If \(\rm z=\frac{1}{3}\begin{vmatrix}i&2i&1\\\ 2i&3i&2\\\ 3&1&3\end{vmatrix}=x+iy;i=\sqrt{-1}\) then what is modulus of Z equal to?  

1
1
2
√2
3
2
4
√3
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