||'''Book'''|| Linear Algebra ||
 ||'''Author'''|| Gilbert Strang ||
 ||'''Edition'''||  ||

/* code_begins */

{{{var('a')
var('b')
A = matrix([[a,b],[-b,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''': 
* phanindra,student,nmrec