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

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