Find Matrix Eigenvalues ...
[[2,3],[4,10]]
Solution:
|A-lamdaI|=0
:.(2-lamda) × (10-lamda) - 3 × 4=0
:.(20-12lamda+lamda^2)-12=0
:.(lamda^2-12lamda+8)=0
:.(lamda-0.70849738)(lamda-11.29150262)=0
:.(lamda-0.70849738)=0 or(lamda-11.29150262)=0
:. The eigenvalues of the matrix A are given by lamda=0.70849738,11.29150262
This material is intended as a summary. Use your textbook for detail explanation.
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