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

/* code_begins */

{{{
var('a')
var('k')
A = matrix([[a,k,k],[k,a,k],[k,k,a]])
print A
print "Is symmetric?", A.is_symmetric() 
print "Is skew_symmetric?", A.is_skew_symmetric() 
print A.transpose()==A.inverse()
if(A.transpose()==A.inverse()):
    print this is orthogonal
else:
    print "this is not orthogonal"
}}}

/* code_ends */

 * '''Solution by''': 
   * <S.N.V.SAINADH,VYCET,STUDENT>
   * <Your Name>, <Profession>, <Organization>