a) Create a matrix A R2020 and a column b R201

using Matlab commands

>> rng(2835);

 >> A=rand(20,20)*10; >> b=rand(20,1)*10; 

Find solution x of the system of linear equations Ax = b using the Gaussian Elimina- tion Algorithm with Partial Pivoting. In doing so assume that elementary row operations of type II (multiplication by a non-zero number) are performed after the Backward Phase of the GEA. Further, to find out whether a number, say, a is zero or not use the condition |a| < 10¹⁰ instead of a = 0. Thereby calculate the number 10¹³ Ax b .