The eigen values and the corresponding eigen vectors of a 2 × 2 matrix are given by
\[\begin{array}{*{20}{c}}
{{\text{Eigen value}}}&{{\text{Eigen vector}}} \\
{{\lambda _1} = 8}&{{{\text{v}}_1} = \left[ {\begin{array}{*{20}{c}}
1 \\
1
\end{array}} \right]} \\
{{\lambda _2} = 4}&{{{\text{v}}_2} = \left[ {\begin{array}{*{20}{c}}
1 \\
{ - 1}
\end{array}} \right]}
\end{array}\]
The matrix is
A. \[\left[ {\begin{array}{*{20}{c}} 6&2 \\ 2&6 \end{array}} \right]\]
B. \[\left[ {\begin{array}{*{20}{c}} 4&6 \\ 6&4 \end{array}} \right]\]
C. \[\left[ {\begin{array}{*{20}{c}} 2&4 \\ 4&2 \end{array}} \right]\]
D. \[\left[ {\begin{array}{*{20}{c}} 4&8 \\ 8&4 \end{array}} \right]\]
Answer: Option A
This Question Belongs to Engineering Maths >> Linear Algebra
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