Can someone help me solve these problems? I dont know the code for the solution.

Problem $1$

Use the svd$()$ function in MATLAB to compute $A_1,$ the rank$-1$ approximation of $A.$ Clearly state what $A_1$ is$,$ rounded to $4$ decimal

places. Also, compute the root$-$mean square error $($RMSE$)$ between A and $A_1.$

Solution:

$\%$code

Problem $2$

Use the svd$()$ function in MATLAB to compute $A_2,$ the rank$-2$ approximation of $A.$ Clearly state what $A_2$ is$,$ rounded to $4$ decimal

places. Also, compute the root$-$mean square error $($RMSE$)$ between A and $A_2.$ Which approximation is better, $A_1$ or $A_2?$ Explain.

Solution:

$\%$code

Explain: