# Vectors and Characterisitic Values of a Matrix

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

[ 1 -2 ]

[ 2 -3 ]

https://brainmass.com/math/matrices/vectors-characteristic-values-matrix-16070

#### Solution Preview

We need to make Determinant [1-L,-2;2,-3-L]=0 to find characteristic values.

=> (1-L)(-3-L)+4=0

=> -3-L+3L+L^2+4=0

=> L^2+2L+1=0

=> (L+1)(L+1)=0

Characteristic Values are ...

#### Solution Summary

In about 95 words, this solution determines the characteristic values of a matrix and the corresponding vectors are found. All work is shown.

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