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

/* code_begins */

{{{
a=matrix([[0,1,0],[0,0,1],[1,0,0]])
a.transpose()==a.inverse()  /*returns boolean true checkn if a is orthogonal*/
var('t')
t=a*a*a     /*cube of a*/
t
t.inverse()==t.transpose()  /* returns boolean true if a^3 is orthogonal*/
}}}

/* code_ends */

 * '''Solution by''': 
   * <Deepthi>,<student>, <SNIST>
   * <Manisha>, <student>, <SNIST>