$(10)$

$($a$)$ There are $4$ observations and three channels $($ECG$,$EMG and ABP$)$ given in the

matrix.Find the covariance matrix. Use handwriting to show the steps without a single

MATLAB command. But you may use MATLAB basic commands for intermediate

step calculations.

$B=\left[\begin{array}{cccc}5& 1& 3& 3\\ 1& 3& 1& 4\\ 6& 3& 7& 4\end{array}\right]$

$($b$)$ Find eigenvalues and eigenvectors of the covariance matrix using single MATLAB

command

$($c$)$ How do you define correlation values for each pair $($between two channels$)$ in mathe$-$

matically and show numerical values.

$($d$)$ What is the difference between SVD and PCA? $($one sentence$)$