Q$1)(30$ p$)$a$)$Explain what LU method is by giving a particular example and design a program of the $LU$ method for any $33$ linear equation system.

b$)(10$ p$)$Run the program for the same example and add your output.

c$)(10$ p$)$Note that the system has unique solution. Also, state that what is the condition for the system to have unique solution.