Issues-with-covaraince-matrix.md

@@ -71,7 +71,10 @@ A similar plot for the GW190412 event (top 5 [PE samples](https://git.ligo.org/p
 The effective-rank of the covariance matrix needs to be tuned for each event using a diagnostic plot such as those shown above. 
 
 ## Rank versus $`\beta`$ for off-source samples
-<img src="uploads/fe96e535c7f921b3b65f8ba209c47d68/beta_lambda_nalpha_2_.png"  width="440" >
+
+
+
+<img src="uploads/e37b0ac160bb258219a1b6732dbb2308/beta_lambda_nalpha_4_.png"  width="440" >
 <img src="uploads/27ac1831fe2b94185cc51bcdba11d53c/beta_lambda_nalpha_3_.png"  width="440" >
 
 The above figuers show the variation in $`\beta`$ with respect to the rank of the covariance matrix for off-source samples. The plots are produced using the off-source samples obtained for maximum likelihood samples which are reported in the above tables. We can see that the $`\beta`$ values are nearly equal to zero when the rank is very low. But, its modulus value increases sharply within a rank value of 10.