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Maple 6 - The World's First Fully Integrated Analytical Computation System

(updated Nov. 21, 2000)

This package of Maple classroom modules by Dr. Wlodzislaw Kostecki is designed to enliven the teaching of matrix algebra at the university level. In 30 self-contained units, the course covers most of the topics taught at the undergraduate level that concern operations on matrices with symbolic and numerical elements. It also includes several topics that are beyond the scope of a typical syllabus and are addressed to more advanced users of matrices. Being an electrical engineer, the author has included problems related to Electrical Engineering in some units.

Although the course provides the necessary definitions and properties of matrices, its primary objective is to show users how they may liberate themselves from tedious, time-consuming, and error-prone manual matrix computations by employing Maple software. Supplementing your lectures with these interactive worksheets will open portals to mathematical learning and insight that are simply not possible with chalk alone. They empower the student to experience the beauty of linear algebra with less of the drudgery and fear that accompany pure paper and pencil approaches.


Download the entire course

Unit 1 Introduction to matrices preview download
Unit 2 Extracting components of matrices preview download
Unit 3 Addition and subtraction of matrices preview download
Unit 4 Multiplication of matrices preview download
Unit 5 Multiplication of row and column matrices preview download
Unit 6 Multiplication of a multi-row multi-column matrix and a column matrix preview download
Unit 7 Special types of matrices preview download
Unit 8 Multiplication of a matrix by a scalar preview download
Unit 9 Multiplication involving the unit matrix preview download
Unit 10 The Transpose of a matrix preview download
Unit 11 The Determinant of a matrix preview download
Unit 12 The Minor and cofactor of a matrix element preview download
Unit 13 The Adjoint of a matrix preview download
Unit 14 The Inverse of a matrix preview download
Unit 15 Integer exponentiation of matrices preview download
Unit 16 The complex matrix and its conjugate preview download
Unit 17 The orthogonal matrix preview download
Unit 18 Replacing a column in a matrix with a column matrix preview download
Unit 19 Solution of systems of linear algebraic inhomogeneous equations preview download
Unit 20 Trace of a matrix preview download
Unit 21 Eigenvalues and eigenvectors preview download
Unit 22 Similarity of matrices preview download
Unit 23 Functions of constant matrices preview download
Unit 24 Functions of matrices comprising linear functions preview download
Unit 25 Functions of matrices comprising non-algebraic functions preview download
Unit 26 Applying a function to matrix elements preview download
Unit 27 Differentiation of matrices preview download
Unit 28 Limits of matrices preview download
Unit 29 Integration of matrices preview download
Unit 30 Application of the function exp([A]t) in solving matrix equations preview download