# Isn't 100000 such a huge number (Part-10)?

Algebra Level 4

Consider the matrix $\color{Purple}{\large {Y=\begin{pmatrix} i&0&-2i\\0&100000&0\\2i&0&-i\end{pmatrix}}}$

If the sum of the eigenvalues can be represented as $$a+bi$$ and the product of the eigenvalues can be represented as $$c+di$$.

Find the value of $$\color{Blue}{{\dfrac{b+d-c}{a}}}$$

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