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Vectors and Characterisitic Values of a Matrix

Determine the characteristic values of the given matrix and find the corresponding vectors:
[ 1 -2 ]
[ 2 -3 ]

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.