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.

| m 1+m |

X =

| 1-m -m |

whenever m is an integer, with |m| != 1, satisfies all the conditions of the given problem.

OR,

| 1-t 2-t |

X =

| t t-1 |

whenever t is an integer , with t! = 0, 2 also satisfies all conditions of the given problemsatisfy conditions of the problem.

*Edited on ***April 27, 2007, 2:58 pm**