matrix A:
-1	1	1	
2	-2	2	
3	3	-3	
triangular matrix R:
3.74166	1.06904	-1.60357	
0	3.58569	-2.86855	
0	0	1.78885	
determinant:	24
matrix product QR:
-1	1	1	
2	-2	2	
3	3	-3	
vector b:
1
2
3
solution x to Ax=b:
1
1
1
check: vector Ax:
1
2
3