We have tested the matrix capabilities of the new HP15C Collector's Edition, by trying a 8x8 equation system. This was completely impossible to do with any of the previous releases: they maxed memory allocable to matrices at 64 - so you could only invert a 8x8 matrix - but not solving a system since you needed the independent values' vector.
We started creating the two matrices, and filling them with random data, in the hope they would not be singular. To do that, we wrote a short program using the USER feature so that it fills cell by cell of both matrices.
Here is the result: