If I is the 2x2 identity matrix, show that there is an infinite number of matrices X with integer members such that X*X = I.

Any matrix created with the following formula satisfies the conditions.  For any real number x:


|      [x]           [√(x²+1)]  |
| [-√(x²+1)]        [-x]       |

Posted by hoodat on 2007-04-26 09:34:34