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

Illustration of initializing the data structure, Illustration of initializi...

Illustration of initializing the data structure: illustration of initializing the data structure by preallocating is here as shown: >> cyls(3) = struct('code', 'c', 'dimen

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

Creating cell arrays, Creating Cell arrays: There are many ways to cre...

Creating Cell arrays: There are many ways to create cell arrays. For illustration, we will create a cell array in which one element will store an integer, one element store ch

Illustration of set operations, Illustration of Set operations: For il...

Illustration of Set operations: For illustration, given the vectors as shown below: >> v1 = 2:6 v1 = 2  3  4  5  6 >> v2 = 1:2:7 v2 = 1  3  5  7

Illustration of image processing, Illustration of Image processing: Th...

Illustration of Image processing: This displays that there are 64 rows, or in another word, 64 colors, in this specific colormap. It also displays that the first five colors a

Matrix definitions, Matrix definitions: As we know the matrix can be t...

Matrix definitions: As we know the matrix can be thought of as a table of values in which there are both rows and columns. The most common form of a matrix A (that is sometime

Variable scope, Variable Scope: The scope of any of variable is the wo...

Variable Scope: The scope of any of variable is the workspace in which it is valid. The workspace generated in the Command Window is known as the base workspace. As we know

Plotting file data, Plotting File data: It is frequently essential to ...

Plotting File data: It is frequently essential to read data from a file and plot it. Generally, this entails knowing the format of the file. For illustration, let us suppose t

Illustration of subfunctions, Illustration of Subfunctions: This is an...

Illustration of Subfunctions: This is an illustration of running this program: >> rectarea Please enter the length: 6 Please enter the width: 3 For a rectan

Forward substitution, Forward substitution: The Forward substitution (...

Forward substitution: The Forward substitution (done methodically by first getting a 0 in the a 21 place, and then a 31 , and lastly a 32 ): For the Gauss technique,

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