matrix A:
0.513871	0.175726	0.308634	
0.175726	0.534532	0.947630	
0.308634	0.947630	0.171728	
matrix Q'.Q:
1.000000	0.000000	0.000000	
0.000000	1.000000	-0.000000	
0.000000	-0.000000	1.000000	
matrix AQ:
0.622882	0.008326	-0.046323	
0.802919	0.470700	0.590228	
0.581133	0.802042	-0.204356	
matrix QT:
0.622882	0.008326	-0.046323	
0.802919	0.470700	0.590228	
0.581133	0.802042	-0.204356	
matrix T :
1.020673	0.573240	0.000000	
0.573240	0.460755	0.569210	
0.000000	0.569210	-0.261298	
matrix T:
1.354604	0.290014	0.000000	
0.290014	0.375956	0.333544	
0.000000	0.333544	-0.510430	
matrix T:
1.419564	0.137630	-0.000000	
0.137630	0.424899	0.045701	
0.000000	0.045701	-0.624332	
matrix T:
1.433526	0.069780	0.000000	
0.069780	0.412941	0.000088	
0.000000	0.000088	-0.626337	
matrix T:
1.438274	0.000325	
0.000325	0.408192	
matrix T:
1.438274	0.000000	
0.000000	0.408192	
matrix D :
1.438274	0.000000	0.000000	
0.000000	0.408192	0.000088	
0.000000	0.000088	-0.626337	
eigenvalues: 1.43827 0.408192 -0.626337