How Can I slove this problem in sage?

asked 2015-01-17 09:50:35 -0500

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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)

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Comments

This 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.

tmonteil gravatar imagetmonteil ( 2015-01-17 12:07:23 -0500 )edit