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I need help coding in MATLAB for this assignment. In this exercise, you use the RREF and Rouch - Capelli Theorem to determine if Ax
I need help coding in MATLAB for this assignment.
In this exercise, you use the RREF and RouchCapelli Theorem to determine if Ax b is consistent. You may need the following commands for this exercise.
The command rref returns the reduced row echelon form of a matrix
The command rref returns and pivcols, where matrix rref and pivcols indicates pivot columns of
The command rank returns the rank of a matrix
You also need two mfile functions rankcomp given and Lssolution template only In these functions, you need to know:
ifelse statement
If an expression is true, it executes statements block. Otherwise, it executes statements block.
if expression
statements block
else
statements block
end
ifelseif statement
If expression is true, it executes statements block. If not, check expression If expression is true, it executes statements block. If not, execute statements block.
if expression
statements block
etseif expression
statements block
else
statements block
end
A Use the reduced row echelon form RREF to solve where A and are indicated in Exercise and type your answer for the following in the Live Editor.
Display the reduced row echelon form and the pivot columns of the augmented matrix A b
Write a report to explain if there is a solution of based on rref
Call the function rankcomp and determine if is consistent.
Compare the result with Part A You should have the same conclusion.
Note: rankcomp gives you a new command to compare if rankrank When you need to use the command, read the comments in the file function first and call the function by typing the name of the function, rankcomp A B where A and B are the two input matrices.
C Open the template Issolution. Use the RouchCapelli Theorem as a guide and code the function using an ifelseif statement do not use nested ifelse statements When LSsolution is called it should return the correct system type based on whether has a solution and how many. The function should outputreturnset systemtype to:
inc if the system is inconsistent and has no solution, or
conwithonesol if the system is consistent and has a unique solution, or
conwithinfsols if the system is consistent and has infinitely many solutions.
Note: You should include three input arguments for LSsolution, where is the number of variables in the system of equations.
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