For the following two (02) items:
Let
$A=\left[\begin{matrix}\cos \theta &\sin \theta \\ -\sin \theta &\cos \theta \end{matrix}\right] $

What is the value of the determinant of the matrix $A ^ 4$

For the following two (02) items:
Let
$A=\left[\begin{matrix}\cos \theta &\sin \theta \\ -\sin \theta &\cos \theta \end{matrix}\right] $

What is $[adj A ]^ {-1}$ equal to?

What is the sum of the binary numbers $(10110110) _2$ and $( 10001 1) _2$
 

Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common. How many elements does (X - Y) × (Y-X) have?