Book
Advanced Engineering Mathematics
Author
Erwin Kreyszig
Edition
8th Edition
a , b = var('a, b') A = matrix([[a,b],[-b,a]]) print A A.characteristic_polynomial() A.eigenvalues() #moduli of the eigenvalues = sqrt(a^2 + b^2) # b = 0 => the matrix is symmetric # a = 0 => the matrix is not skew-symmetric # sqrt(a^2 + b^2) = 1 => the matrix is orthogonal
Solution by:
- ganesh, developer, space
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