Topic: Matrix Transposition
Due: 11:59pm Tuesday, 28 September 2010

Please make sure you adhere to the policies on academic integrity.

Introduction

Continuing with the project from the preceding assignment, our goal this week it to add functionality for computing the transpose of a matrix. In MATLAB, this can be done using a special syntax

M = A';

We cannot replicate such a syntax in C++, so we will choose to introduce a member function named transpose into our matrix class definition, to allow such a behavior to be invoked as

M = A.transpose();

Your task

• Update the file matrix.h to add a transpose function to the matrix class definition, giving an implementation that produces and returns the appropriate new matrix while leaving the original unchanged.

• Update the driver test.cpp to demonstrate use of the new functionality in the following ways. After performing the existing set of tests, do additional tests to output A, A.transpose(), and A * A.transpose(), and to verify the tautology A.transpose().transpose() == A.

Submitting your project