MATH UN1102 Lecture Notes - Lecture 22: Naan, Samsung Galaxy S Iii, Init
18 Dec 2020
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Lecture see 76 homogeneous linear system with constant. For naan eigenvector is an eigenvalue of a and s is the corresponding if r then t and z is another eigenpair. Bert zett complex solutions let"s use bert to construct the real solution you may also use 3ert. 3 ett a if eat init ta eb eat coswt t isinut. X both x and x are solutions to the original system and they are linearly independent. For every conjugate eigenpair cr 31 and lf 31 construct two real linearly independent solution x and k we can lexampleti prove that x. Proof is a solution of x ax let"s first look at the eigenvalue problem. A a t i ab tha ut t icabtua. Ax left dxyett tail sinut bucosuttedttfacosut bsinuttedt. it tail bu cosut e"t. Itza u b2t4 o tz. fr ri z li2i. 3 f tiff tiff elitist f ti 19 coszttis. int et. Mst et sin2e et sint et cost et coszteittsinit. cat.
