=A centered dataset with n = 80 observations and p 5 variables was analysed to reduce itsdimensionality. As part of Principal Component Analysis, the following variance-covariance matrix Σ wasgenerated194.202 26.336 15.803 41.983-1.1136.2893.163-7.056−1.113.163 239.63319.99136.289 -7.056 19.991250.303993.944194.202 228.703 -32.78226.336 -32.782 241.45415.80341.983A) Compute and write the numerical value of the eigenvalue 14 of Σ. This eigenvalue is located in theposition (4,4) of the matrix A and is simultaneously the sample variance of the score PC4:B) Compute and write the percentage of total variability explained by the Principal component PC4. Thenumber you write should be between 0 and 100 and you should include decimals in your answer.

Given the variance-covariance matrix (Σ) for a centered dataset with (n=80) observations and (p=5)…

Answered: A) Compute and write the numerical…

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