I have been encouraging the smart people on the 34S to give us great matrix functionality in the machine. It's here.

A couple of years ago, Valentin gave us some simple-looking matrices of two digit integers whose determinants equaled 1. The inverses of the matrices were also composed of integers and the determinant of the inverses were exactly equal to 1.

AM3 was the most difficult matrix that Valentin generated and you can read about it here:

Valentin's AM1, AM2 and AM3 thread

I have just run the matrix determinant on AM3.

It comes out to exactly 1 with no Tiny Element flag, no "Hey the matrix has integers so the determinant must be an integer" adjustments. It is simply 1 to the entire precision of the result displayed.

Then, I computed the inverse of AM3 and the determinant of the resulting inverse.

The result?

1 to the entire precision of the result.

Incredible. Valentin needs to come back and get himself a WP-34S!

P.S. By the way, the determinants, inverses, etc are computed as near to instantly as I can see.

*Edited: 5 Oct 2011, 12:33 p.m. *