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 $3$x$3$ 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 can you use different equation system other than posted solutions