Geodesic distance calculation

[MonteCarlo]

Respected Members,
I am trying to calculate the geodesic distance from two matrices. I am stuck on eigenvalues calculation and I don't understand how to go for further calculations. Please I need help in this regard. I have explained in an excel sheet.

Empirical Correlation Matrix (S)
	CA1	CA2	CA3	EA1	EA2	EA3
CA1	1​	0.615​	0.468​	0.36​	0.239​	0.246​
CA2	0.615​	1​	0.582​	0.287​	0.216​	0.222​
CA3	0.468​	0.582​	1​	0.337​	0.235​	0.231​
EA1	0.36​	0.287​	0.337​	1​	0.525​	0.408​
EA2	0.239​	0.216​	0.235​	0.525​	1​	0.506​
EA3	0.246​	0.222​	0.231​	0.408​	0.506​	1​

Model Implied Correlation Matrix (Σ)
	CA1	CA2	CA3	EA1	EA2	EA3
CA1	1​	0.722​	0.684​	0.287​	0.274​	0.254​
CA2	0.722​	1​	0.702​	0.294​	0.281​	0.261​
CA3	0.684​	0.702​	1​	0.278​	0.266​	0.247​
EA1	0.287​	0.294​	0.278​	1​	0.689​	0.64​
EA2	0.274​	0.281​	0.266​	0.689​	1​	0.611​
EA3	0.254​	0.261​	0.247​	0.64​	0.611​	1​

Answer is: 0.078 where K= 6

1.741​	-0.853​	-0.206​	-0.283​	0.005​	-0.078​
-0.853​	1.961​	-0.732​	0.032​	-0.039​	-0.049​
-0.206​	-0.732​	1.617​	-0.224​	-0.027​	-0.055​
-0.283​	0.032​	-0.224​	1.575​	-0.600​	-0.225​
0.005​	-0.039​	-0.027​	-0.600​	1.610​	-0.556​
-0.078​	-0.049​	-0.055​	-0.225​	-0.556​	1.416​

0.884433​	0.156895​	0.289292​	-0.13831​	-0.05556​	-0.08783​
0.047615​	0.816557​	0.04711​	0.101307​	0.074961​	0.061223​
0.285894​	0.166535​	0.879174​	-0.10278​	-0.04719​	-0.05913​
-0.18269​	-0.09388​	-0.17242​	0.883616​	0.219875​	0.297779​
0.085595​	0.076014​	0.072699​	0.135974​	0.840039​	0.028009​
-0.00896​	0.0025​	-0.00415​	0.245958​	0.10416​	0.886007​

I dont know how to further calculate value.
Your help will be life saving for me.