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.

Posted Date: 11/23/2012 5:46:08 PM | Location : United States

Ask an Expert

Related Discussions:- Matlab assignment, Assignment Help, Ask Question on Matlab assignment, Get Answer, Expert's Help, Matlab assignment Discussions

Write discussion on Matlab assignment
Your posts are moderated

Write your message here..

Related Questions

Defined a variable in work space, Defined a variable in work space: Th... Defined a variable in work space: The variables defined in the script will become a part of the workspace: >> clear >> who >> mysummfile    15 >> who

Square matrices, Square Matrices: If a matrix has similar number of ro... Square Matrices: If a matrix has similar number of rows and columns, for illustration, if m == n, the matrix is square matrix. The definitions which follow in this part apply

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

Illustration of gauss-jordan elimination, Illustration of gauss-jordan elim... Illustration of gauss-jordan elimination: An illustration of interchanging rows would be r1 ¬→ r3, that would results: Now, beginning with this matrix, an illustration of sc

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

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

Function used in sound files, Function used in sound files: The MATLAB... Function used in sound files: The MATLAB has numerous other functions which let you read and play sound or audio files. In the audio files, sampled data for each audio channel

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

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

Ischar function - string, ischar function: The ischar function return ... ischar function: The ischar function return the logical true if an array is a character array, or logical false if not. >> vec = 'EK127'; >> ischar(vec) ans =