The eigen values and the corresponding eigen vectors of a 2 × 2 matrix are given by
$\lambda_1$ = 8| V1 = $\begin{bmatrix}
\ 1\
\ 1 \
\end{bmatrix}$|
|$\lambda_2$ = 4| V1 = $\begin{bmatrix}
\ 1\
\ -1 \
\end{bmatrix}$|
The matrix is
-
$\begin{bmatrix}
\ 6 & 2 \\
\ 2 & 6 \\
\end{bmatrix}$
-
$\begin{bmatrix}
\ 4 & 6 \\
\ 6 & 4 \\
\end{bmatrix}$
-
$\begin{bmatrix}
\ 2 & 4 \\
\ 4 & 2\\
\end{bmatrix}$
-
$\begin{bmatrix}
\ 4 & 8 \\
\ 8 & 4\\
\end{bmatrix}$
A
Correct answer
Explanation
Sum of the Eigen values must be equal to the sum of element of principal diagonal of matrix.
Only matrix $\begin{bmatrix}
\ 6 & 2 \
\ 2 & 6 \
\end{bmatrix}$ saisfy this condition.