Let $B=\left[\begin{array}{cc}1& -2\\ 3& 1\\ 5& 2\end{array}\right].$ Use MATLAB to find:

$($a$)LB$

$($b$)$ Without calculating it$,$ what should $L($first column of $B)$ be equal to$?$

$($c$)$ Notice that the first column of $B$ is $\left[\begin{array}{c}1\\ 3\\ 5\end{array}\right].$ Use MATLAB to compute

$1($ first col $ofL)+3($ second col $ofL)+5($ third column $ofL)$

$($d$)$ How does the answer to $($c$)$ correspond to the answer to $($a$)?$

$($e$)$ Write the second column of $LB$ as a linear combination of the columns of $L.$

$($f$)$ Write the second row of $LB$ as a linear combination of the rows of $B.$

Parts $($e$)$ and $($f$)$ require no MATLAB or computation. Your answer should be written using the text format, with the equation$/$symbol editor. Your responses

should look like the solution to #$5$ on Assignment $1$a$.$

Pls provide the MATLAB code