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Engineering Physics · Q58

Mathematical Physics

Engineering and GATE · Engineering Physics · question 58

Q58

The eigen values and eigen vectors of the matrix \[ [ array*20c 5&4 \\ 1&2 array ]\] are

The eigen values and eigen vectors of the matrix \left[ {\begin{array}{*{20}{c}} 5&4 \\ 1&2 \end{array}} \right]  are
A.
6, 1 and \left[ {\begin{array}{*{20}{c}} 4 \\ 1 \end{array}} \right],\,\left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \end{array}} \right]
Answer
B.
2, 5 and \left[ {\begin{array}{*{20}{c}} 4 \\ 1 \end{array}} \right],\,\left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \end{array}} \right]
C.
6 , 1 and \left[ {\begin{array}{*{20}{c}} 1 \\ 4 \end{array}} \right],\,\left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \end{array}} \right]
D.
2, 5 and \left[ {\begin{array}{*{20}{c}} 1 \\ 4 \end{array}} \right],\,\left[ {\begin{array}{*{20}{c}} 1 \\ { - 1} \end{array}} \right]

Answer: Option A

Solution

Answer: Option A
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