EMLA Q.61
- Option : D
- Explanation : Eigen value are roots of the equation
i.e. (1 - a)2 - 1 = 0
a2 - 2a = 0
a = 0 or a = 2
when a = 0
this gives x = y
when a = 2,
This gives x = -y
Hence, eigen vectors corresponding to 0 and 2 are
i.e. (1 - a)2 - 1 = 0
a2 - 2a = 0
a = 0 or a = 2
when a = 0
this gives x = y
when a = 2,
This gives x = -y
Hence, eigen vectors corresponding to 0 and 2 are
a2 - 2a = 0