Posts 1 - 10 of 100

結果: Matrices

Exploring Matrices Exercises

Try you hand at a few exercises involving Exploring Matrices.... 続きを読む >>

Exploring Matrices

I have spent much of my career working to bring abstract linear algebra and practical matrix computation closer together. This project is my latest effort.... 続きを読む >>

MiniGallery, Sampler of MATLAB Test Matrices

MATLAB has dozens of test matrices. Here are a few.... 続きを読む >>

R2-D2, Rotations and Dilations in Two Dimensions 1

R2_D2 is is the name I've given a new MATLAB program that provides animations of 2-by-2 rotation and dilation matrices. I admit I chose "dilations" so the acronym would be memorable, but otherwise the code has little to do with the famous Star Wars droid.... 続きを読む >>

Grafix Users Guide

This is a quick look at Grafix, our tool for exploring matrices via 3-D computer graphics.... 続きを読む >>

Matrices In Action, Grafix 2.0 3

The 4-by-4 matrices in the panels on the following screenshots are at the heart of computer graphics. They describe objects moving in three-dimensional space and are essential to MATLAB's Handle Graphics, to CAD (Computer Added Design) packages, to CGI (Computer Graphics Imagery) in films, and to most popular video games.... 続きを読む >>

Singular Matrix Pencils and the QZ Algorithm, Update

(The January 5 posting was premature and incomplete.)... 続きを読む >>

Color Cube Meets Rubik’s Cube

I have made a half dozen blog posts about Rubik's Cube so far this year. And, during the MATLAB Central Mini Hack in October, I resurrected an old code about the Color Cube. Now, a combination of the two, Rubik/Color Qube, creates an elegant tool for investigating Matrices in Action.... 続きを読む >>

Christian Reinsch, Roland Bulirsch, and the SVD 2

Christian Reinsch and Roland Bulirsch both passed away recently, Reinsch on October 8 and Bulirsch on September 21. Reinsch was 88 years old and Bulirsch was 89. Both of them were retired professors of numerical analysis at the Technical University of Munich. Both of them were friends of mine. But in almost all other ways, they were very different people.... 続きを読む >>

Rubik’s Cube Superflips and God’s Number

  • How hard is it to solve a Rubik's Cube?
  • When can you say that your Rubik's Cube is completely scrambled?
  • Why might the answer depend on where you went to school?
  • What interesting mathematical questions are involved?
... 続きを読む >>

Posts 1 - 10 of 100