Question

The problem: Write a general an M-file to solve a system of linear equations by using Cramer's Rule. You should have in the argument (A, b,n), which (A) represents the coefficients, and (b) is a column vector that represents the right hand- side of the equations, and(n) represents the number of equations or the unknowns.

Answer 1

For solving equation in matlab, linsolve() is the correct function.

It uses LU factorization with partial pivoting when A is square and QR factorization with column pivoting. The number of rows of A must equal the number of rows of B. If A is x-by-z and B is s-by-t, then X is z-by-t.

[X, R] = linsolve(A,B) suppresses these warnings and returns R, which is the reciprocal of the condition number of A if A is square, or the rank of A if A is not square.

X = linsolve(A,B,opts) solves the linear system A*X = B or A'*X = B, using the solver that is most appropriate given the properties of the matrix A, which you specify in opts. F