Find the eigen value and eigen vector of

Solution :

= =

=

Eigen value

putting in the matrix eq

. =

Stuck here !!!!!!!

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- Jan 4th 2010, 07:52 PMflintstoneEigen value , eigen vector
Find the eigen value and eigen vector of

Solution :

= =

=

Eigen value

putting in the matrix eq

. =

**Stuck here !!!!!!!** - Jan 4th 2010, 09:20 PMShanks

the solution set is a subspace generated by . - Jan 5th 2010, 12:04 AMflintstone
thanks

- Jan 5th 2010, 04:00 AMHallsofIvy
Both second and third equations just tell you that x= 0. The first equation tells you that 2y= -3z so y= -(3/2)z. Any eigenvector is of the form <0, -(3/2)z, z>= z<0, -3/2, 1>. If z= 2, that is <0, -3 , 2> so the space of eigenvectors of this matrix is spanned by that single vector (which is, of course, a multiple of the one Shanks gave).