# Characteristic Values of a Matrix and Corresponding Vectors

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Determine the characteristic values of the given matrix and find the corresponding vectors:

[ 1 2 -1 ]

[ 0 -2 0 ]

[ 0 -5 2 ]

https://brainmass.com/math/matrices/characteristic-values-of-a-matrix-and-corresponding-vectors-16071

#### Solution Preview

Characteristic poly is found by det(xI-A)

|[x-1 -2 1 ]|

|[0 x+2 0 ]|=(x-1)(x+2)(x-2)

|[0 5 x-2]|

The characteristic values are the roots of the ...

#### Solution Summary

The characteristic values of a matrix are determined and the corresponding vectors are found.

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