ASKSAGE: Sage Q&A Forum - Individual question feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 17 Jan 2015 12:07:23 -0600How Can I slove this problem in sage?https://ask.sagemath.org/question/25546/how-can-i-slove-this-problem-in-sage/Sorry for my bad English.
**Problem**:
Write a procedure that accepts as input an orthogonal matrix A |- O(2m), with m >= 1, such that
***A^2= -I(2m)*** [subscript 2m]
and give as output an orthonormal basis of R^2m type:
***u1,Au1,u2,Au2, ... , um,Aum`***
Test the procedure on matrices of type ***A = tMJM*** [t apex] where ***M |- O(2M)*** is a random matrix and ***J |- O(2m)*** is the block matrix 2x2 all equal to
***J = [column 1] ( 0 1) [column 2] (-1 0)***Sat, 17 Jan 2015 09:50:35 -0600https://ask.sagemath.org/question/25546/how-can-i-slove-this-problem-in-sage/Comment by tmonteil for <p>Sorry for my bad English.</p>
<p><strong>Problem</strong>:</p>
<p>Write a procedure that accepts as input an orthogonal matrix A |- O(2m), with m >= 1, such that
<strong><em>A^2= -I(2m)</em></strong> [subscript 2m]</p>
<p>and give as output an orthonormal basis of R^2m type: </p>
<p><strong><em>u1,Au1,u2,Au2, ... , um,Aum`</em></strong></p>
<p>Test the procedure on matrices of type <strong><em>A = tMJM</em></strong> [t apex] where <strong><em>M |- O(2M)</em></strong> is a random matrix and <strong><em>J |- O(2m)</em></strong> is the block matrix 2x2 all equal to</p>
<p><strong><em>J = [column 1] ( 0 1) [column 2] (-1 0)</em></strong></p>
https://ask.sagemath.org/question/25546/how-can-i-slove-this-problem-in-sage/?comment=25547#post-id-25547This looks like homework. If you want some help, you should ask more precise questions related to your research in solving those exercises, especially where you are locked.Sat, 17 Jan 2015 12:07:23 -0600https://ask.sagemath.org/question/25546/how-can-i-slove-this-problem-in-sage/?comment=25547#post-id-25547