Matlab assignment, MATLAB in Engineering

Assignment Help:
1. Write a MATLAB function (upperTriangle) using the functions you previously created to convert a matrix to upper triangular form. Start with row 1, column1. Find the row that has the largest absolute value in the current column (you have a function that will do that). If the row is not your working row, swap rows (you have a function that will do that). Calculate a factor that you can use to form a linear combination with your working row to zero the value in the column below your working row. Use that factor and the linear combination of rows to zero the first column below your working row (you have a function that will do that). Continue down that column until you reach the last row. All the values in your working column below your working row should be zero. Move to the next diagonal position (down 1 row over 1 column) and repeat the process. Continue the process moving down the diagonal until you reach the last row. You matrix should be in upper triangular form.

Your function should be written to handle matrices of any size. Test your function with matrices of different sizes for which you know the solution to ensure that your function works correctly.

Use variable names that relate to their function and include comments that explain your program logic.

Do not use any built-in MATLAB functions except size(), input(), and zeros().


2. Modify the function in problem 1 (call the new function determ) to calculate the determinant of a square matrix. Recall that the determinant of an upper triangular matrix is the product of the diagonal elements. However, when creating an upper triangular matrix, each time a row is swapped, the determinant changes sign.

Related Discussions:- Matlab assignment

Example of image processing, Example of image processing: The other il...

Example of image processing: The other illustration generates a 5 × 5 matrix of arbitrary integers in the range from 1 to the number of colors; the resultant image is as shown

Replacing, Replacing, Finding, and separating strings: There are numer...

Replacing, Finding, and separating strings: There are numerous functions which find and replace the strings, or parts of strings, within the other strings and functions which

Function used in binary search, Function used in binary search: The fu...

Function used in binary search: The function below implements this binary search algorithm. It receives two arguments: the sorted vector and a key (on the other hand, the func

Illustration of matrix solutions, Illustration of Matrix solutions: Fo...

Illustration of Matrix solutions: For illustration, consider the three equations below with 3unknowns x 1 ,x 2 , and x 3 : We can write this in the form Ax = b here A

Finding sums by for loop, Finding sums and products: A very general ap...

Finding sums and products: A very general application of a for loop is to compute sums and products. For illustration, rather than of just printing the integers 1 through 5, w

Gauss elimination, Gauss Elimination: The Gauss elimination technique ...

Gauss Elimination: The Gauss elimination technique consists of:    Generating the augmented matrix [A b]    Applying EROs to augmented matrix to obtain an upper trian

Function rmfield - structure, Function rmfield - structure: The functi...

Function rmfield - structure: The function rmfield eliminates a field from the structure. It returns a new structure with field eliminated, but does not modify the original st

Use of while loop, Use of While loop: Here is an illustration of calli...

Use of While loop: Here is an illustration of calling the function, passing 5000 for the value of the input argument high. >> factgthigh(5000) ans = 5040 The itera

Illustration of if - else statement, Illustration of if - else statement: ...

Illustration of if - else statement: The one application of an if-else statement is to check for errors in the inputs to a script. For illustration, a former script prompted t

Changing case, Changing Case: The MATLAB has two functions which conve...

Changing Case: The MATLAB has two functions which convert strings to all uppercase letters, or all lowercase, known as the upper and lower. >> mystring = 'AbCDEfgh';

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd