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




/* code_begins */
{{{
B = matrix ([[0,9,-12],[-9,0,20],[12,-20,0]])
print B

print B.transpose()
print "Is symmetric?",B.is_symmetric()
print "Is skew_symmetric?", B.is_skew_symmetric()

if ( B.is_invertible()==true):
    if(B.transpose()==B.inverse()):
        print "matrix is orthogonal"
    else:
        print "matrix is not orthogonal"
else:
    print"matrix is not orhtogonal"
B.eigenvalues()

A = matrix ([[3,4],[1,3]])
print A

print A.transpose()
print "Is symmetric?",A.is_symmetric()
print "Is skew_symmetric?", A.is_skew_symmetric()

if ( A.is_invertible()==true):
    if(A.transpose()==A.inverse()):
        print "matrix is orthogonal"
    else:
        print "matrix is not orthogonal"
else:
    print"matrix is not orhtogonal"



A.eigenvalues()
}}}
 *
 '''Solution by''':

  * srinivas vinay, student, vardhaman college of engineering
  *
  <Your Name>, <Profession>, <Organization>