81. BRIEF INTRODUCTION TO VECTORS AND MATRICESSox1(t) =43et-13e2tandx2=83et+13e2t.They are solution ofthe following system of differential equations,‰x01(t)=-x1(t) +x2(t)x02(t)=2x1a1.3. Eigenvalues and Eigenvectors.IfA=•abcd‚the de-termined ofAis defined as|A|=flflflflabcdflflflfl=ad-bc.For a3×3matrixa11a12a13a21a22a23a31a32a33we can compute the matrix asflflflflflfla11a12a13a21a22a23a31a32a33flflflflflfl=a11flflflfla22a23a32a33flflflfl-a12flflflfla21a23a31a33flflflfl+a13flflflfla21a22a31a32flflflfl.In Mathcad , type the vertical bar — to bring up the absoluteevaluator||, put the matrix in the place holder and press = to compute
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