Differences between revisions 1 and 2
⇤ ← Revision 1 as of 2010-12-17 12:39:45 →
Size: 476
Editor: 172
Comment: if a is orthogonal prove that a^3 is also orthogonal
← Revision 2 as of 2010-12-18 08:19:34 → ⇥
Size: 478
Editor: manishadeepthi
Comment: if a is orthogonal then (a*a*a) is also orthogonal
Deletions are marked like this. Additions are marked like this.
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   * <Deepthi<student>, <SNIST>    * <Deepthi>,<student>, <SNIST>

  • Book

    Linear Algebra

    Author

    Gilbert Strang

    Edition

    		 

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*/

  • Solution by:

    • <Deepthi>,<student>, <SNIST>

    • <Manisha>, <student>, <SNIST>

Strang-3.5-3.7-U (last edited 2010-12-18 08:19:34 by manishadeepthi)