Practicing Success
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The value of $\begin{vmatrix} a+ib & c+id\\-c+id & a-ib\end{vmatrix}$ is : |
$a^2+b^2-d^2-c^2$ $a^2-b^2+d^2-c^2$ $a^2-b^2-d^2-c^2$ $a^2+b^2+d^2+c^2$ |
$a^2+b^2+d^2+c^2$ |
The correct answer is Option (4) → $a^2+b^2+d^2+c^2$ $\begin{vmatrix} a+ib & c+id\\-c+id & a-ib\end{vmatrix}$ $=(a+ib)(a-ib)-(c+id)(-c+id)$ $=a^2+b^2+d^2+c^2$ |
