will then perform checks to determine whether to use the Gauss$-$Seidel or Gauss$-$Jordan method to solve the system. Your code will then solve the system and return the values of $x_u.$ You may use third$-$party code for the Gauss$-$Seidel and Gauss$-$Jordan routines but you must cite the source of your code; comment it fully; write pseudocode for it and provide the appropriate data flow diagrams $($visio$).$ It is standard industry practice to reuse good code routines for complex mathematical operations.

The following list of steps may help you:

$1$ Ask user to input a matrix

Check if the matrix is square $-$ if not exit with message

If yes $-$ check for diagonal dominance $($as a function preferably$)$

$>$ If yes$-$ Gauss$-$Seidel

If no$-$Check or positive$-$definitenessIf no$-$Gauss$-$Jordan$>$ Output values of x$\_(",")>$ EndSubmit exactly $6$ files:

A detailed visio data flow diagram $($pdh$)$ for each section $($you detormino how to divide up your data flow into smaller sections$)$

An overarching simplified visio data flow diagram $($pdi$)$

Pseudocode with real equations $($pdI$)($DO NOT USE AN ONLINE TOOL FOR THIS, NO MARKS WILL BE AWARDED FOR AUTOMATICALLY GENERATED PSEUDOCODE$)$

Fully commented code. This applies to all code whether or not you have written it $($pdi$)$

Your sample outputs $($pdn$)$

Your original matlab file $(.$m file$)$