Solve this following

Question:

Evaluate $\left|\begin{array}{cc}\sqrt{3} & \sqrt{5} \\ -\sqrt{5} & 3 \sqrt{3}\end{array}\right|$

Solution:

$\left|\begin{array}{cc}\sqrt{3} & \sqrt{5} \\ -\sqrt{5} & 3 \sqrt{3}\end{array}\right|=3 \sqrt{3} \times \sqrt{3}-(-\sqrt{5} \times \sqrt{5})$

$=14$

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