This assignment is due at $11\mathrm{.}59pm$ on December ${15}^{th},$ submission via Brightspace

ALL WORK MUST BE YOUR OWN $($except for the Gauss$-$Seidel or Gauss$-$Jordan routines$).$

Work submitted in the wrong format will not be marked.

This assignment is worth $14\%$ of the mark for this module

See the corresponding presentations on Brightspace for guidance

You will write a Matlab user defined function that take a user input of a square matrix of any size. Your code

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 $x_n.$ 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:

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$-$definiteness

If yes$-$Gauss$-$Scidel

If no$-$Gauss$-$Jordan

Output values of $x_n$

End

Submit exactly $6$ files:

A detailed visio data flow diagram $($pdf$)$ for each section $($you determine how to divide up

your data flow into smaller sections$)$

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

Pseudocode with real equations $($pdf$)($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 $($pdf$)$

Your sample outputs $($pdf$)$

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