Eigenvalues of the matrix are -1,-1,-2. -1 with algebric multiplicity 2. Eigenvectors for -1 are and I am finding difficulty in getting eigenvectors for -2. = How to solve this. I am getting z=0,y=0,and x=y-z. Can anyone help me.
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Originally Posted by kumaran5555 I am getting z=0,y=0,and x=y-z. Why ?. We have: Regards.
I am just lost !!
You do NOT get y= 0. is equivalent to the equations x- y+ z= 0, z= 0, and z= 0. That is, the last two equations are both z= 0. With that, x- y+ 0= 0 so y= x. Any eigenvector is of the form <x, y, z>= <x, x, 0>= x<1, 1, 0>.
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