MATH 2050   Linear Algebra
Demonstration Programs

Excel spreadsheet for determinants, inverses and products of matrices of dimensions 2×2, 3×3 and 4×4, together with eigenvalues and eigenvectors of 2×2 matrices.

A separate document develops the algorithm for the eigenvalues and eigenvectors of any 2×2 matrix.

Visual Basic program for the reduction of a linear system to echelon form:
This program is not a black box for solving linear systems.
Instead, the user must choose which row operations to employ at each step.
To avoid round-off errors, all values are maintained throughout as rational numbers (fractions), not decimals.

• Instructions
• View the Source Code
• Run the program

Excel files:

• Inverses.xls   displays the determinant and inverse of a user supplied 2×2, 3×3, 4×4 or 5×5 matrix.
• MatrixPowers.xls   displays the second to sixth powers of a user supplied 2×2, 3×3 or 4×4 matrix.