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Engineering Maths · Q165

Linear Algebra

Engineering and GATE · Engineering Maths · question 165

Q165

The matrix \[ ( array*20c 2& - 4 \\ 4& - 2 array )\] has

The matrix \left( {\begin{array}{*{20}{c}} 2&{ - 4} \\ 4&{ - 2} \end{array}} \right)  has
A.
real eigenvalues and eigenvectors
B.
real eigenvalues but complex eigenvectors
C.
complex eigenvalues but real eigenvectors
D.
complex eigenvalues and eigenvectors
Answer

Answer: Option D

Solution

Answer: Option D
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