Issues-with-covaraince-matrix.md

@@ -91,4 +91,12 @@ The above figures show the variation in $`\gamma`$ with respect to the rank of t
 <img src="uploads/37318e5408bace5c9cc7473122233cbd/LLR22_lambda_onsource_gw190814.png"  width="440" >
 
 
-The figures show the variation of LLR22 versus the rank of the covariance matrix. These results produced using the 5 largest likelihood samples. The intrinsic parameter these samples are reported in the above tables. 
\ No newline at end of file
+The figures show the variation of LLR22 versus the rank of the covariance matrix. These results produced using the 5 largest likelihood samples. The intrinsic parameter these samples are reported in the above tables.
+
+## Injection study
+Here, we show the variation in $`\beta`$ due to the different choices of the rank of the covariance matrix for a set of identical injections. We produce the injected waveform using the parameters of the maximum likelihood sample.
+
+<img src="uploads/01c1a982088bb7262010e159fb196484/inj_beta_rank_gw190412.png"  width="440" >
+<img src="uploads/eaa22d5905eaf85dda3d5ce9f602f3fc/inj_beta_rank_gw190814.png"  width="440" >
+
+The black dashed trace shows the median, which increases rapidly for first few basis vectors, and then it increases slowly. This feature is similar to the $`\gamma`$ versus rank plot.