Question: MATLAB ONLY Please enter in editable text In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations


MATLAB ONLY Please enter in editable text
In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution. It expresses the solution in terms of the determinants of the (square) coefficient matrix and of matrices obtained from it by replacing one column by the vector of right hand sides of the equations. The Cramer's rule for 3 equations and 3 unknows is as follows: Cramer's Rule for Three Equations in Three Unknowns The solution to the system a,r + by + c-d is given by xyad d, b, Ci ds b, c a, b d a b d az b3 C3 provided that D0 Next, using three different methods, you will write a Matlab scrip to solve the following system of linear equations 3x+4y+6z 1 x-2y 7z 10 2x +3y-9z 15 Task 1: Use the left division operator to find the solution vector (x,y,z). Task 2: Write a custom function called Cramer_rule(A,b) to find the vector x in Ax-b. Task 3: Use the custom function you wrote to find the solution vector (x,y,z) for the above linear equations Task 4: Use Gaussian elimination to find the solution vector (x,y,z) Task 5: Use Gauss-Jordan elimination to find the solution vector (x,y,z)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
