Let $p$ and $q$ be real numbers such that $p^{2}+q^{2}=1$ . The eigenvalues of the matrix $\begin{bmatrix} p & q\\ q& -p \end{bmatrix}$are

1. $1$ and $1$
2. $1$ and $-1$
3. $j$ and $-j$
4. $pq$ and $-pq$

recategorized

SOLUTION

FORMULA OF EIGEN VALUE

where A  is eign value