Q69
The eigen values and the corresponding eigen vectors of a 2 × 2 matrix are given by \[ array*20c Eigen value& Eigen vector \\ _1 = 8& v_1 = [ array*20c 1 \\ 1 array ] \\ _2 = 4& v_2 = [ array*20c 1 \\ - 1 array ] array\] The matrix is
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
\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]
AnswerB.
\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
Solution
Answer: Option A
No explanation is given for this question Let's Discuss on Board