||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{

A = matrix(QQ,[[0.96, -0.28],[0.28,0.96]])

print A

A.determinant()


evals = A.eigenvalues()
print evals

evals[1].abs()

evals[0].abs()

# eigenvalues are imaginary => the matrix is not symmetric

# eigenvalues are not purely imaginary => the matrix is not skew-symmetric

# eigenvalues are complex conjugates with modulii = 1 => the matrix is orthogonal

}}}

/* code_ends */

 * '''Solution by''': 
  * ganesh, developer, space
  * bhanukiran, student, technical university of Delft
  * saransh, student, sobhit university
  * ujwala, lecturer, aurangabad