MATH 54 Lecture Notes - Lecture 45: Near Vertical Incidence Skywave, Eigenvalues And Eigenvectors, Diagonalizable Matrix

• School: Berkeley
• Department: Mathematics
• Course: MATH 54
• Professor: Constantin Teleman

Document Summary

X4h a kid x"lh a titi bih inhomog. Note the eigenvector method works for diagonalizable a otherwise need generalized eigenvectors. Find a basisvt nvis of a eigenvectors eigenvalue xi kn with 514 914vt1 chitty coordinates city in eigenbasis write b et bchutt tblhvn coordinates in eigenbasis change of coordinates formula to find the bj from b. 1h in the bases write the equation hii. A particular inhomogenous solution dkut ekkt. ftetks. pks e4tf e spe1sydsvtt ds. xpch d. nhut tip101 8. Auxiliary polynomial is the characteristic polynomial of a. Tomatchiniondion x o vt find 410 choi with 41010ttczloivj. This is the normal matrix form of a scalar equation g tyi y ore. muk3 l auxiliary roots eigenvalues _x. Ose e f to get real valued form if. Smee solution 2 e a cosfzlref s. net ref. If youcommit to the basis solution e tqosfzt sihrf esmrz tcosffef. fi feet.