16. Systems of Linear Equations 1 Matrices and Systems of Linear ...
16. Systems of Linear Equations 1 Matrices and Systems of Linear ...
16. Systems of Linear Equations 1 Matrices and Systems of Linear ...
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March 31, 2013 16-30roots:r = 8 ± √ 64 − 682= 4 ± iEigenvalues <strong>and</strong> Eigenvectors:r = 4 + i, v =r = 4 − i, v =(14+i−4−1(14−i−4−1)=(1−i)) ( )1=i3.A =(6 01 6)Characteristic polynomial: z(r) = r 2 − 12r + 36 = (r − 6) 2 ,roots: 6, 6Eigenvalues <strong>and</strong> Eigenvectors:( )0r = 6, v =1
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