29. A Matrix Design

Never express yourself more clearly than you are able to think.

– Niels Bohr

• Introduction

Basic Matrix Uses; Matrix Requirements

• A Matrix Template

Construction and Assignment; Subscripting and Slicing

• Matrix Arithmetic Operations

Scalar Operations; Addition; Multiplication

• Matrix Implementation

slice; Matrix Slices; Matrix_ref; Matrix List Initialization; Matrix Access; Zero-Dimensional Matrix

• Solving Linear Equations

Classical Gaussian Elimination; Pivoting; Testing; Advice

29.1. Introduction

A language feature in isolation is boring and useless. This chapter demonstrates how features can be used in combination to address a challenging design task: a general N-dimensional matrix.

I have never seen a perfect matrix ...

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