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 wasgenerated993.944 194.202 26.336 15.80341.983194.202 228.703 -32.78226.336 -32.782 241.45415.803 −1.11 3.16341.983 36.289 -7.056 19.991 250.303−1.11 36.2893.163 -7.056239.633 19.991A) Compute and write the numerical value of the eigenvalue 14 of Σ. This eigenvalue is located in theposition (4, 4) of the matrix ▲ 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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