The following calculator allows you to calculate 4x4 matrix arithmetic. Enter the values into the matrix into the top two matries and then press "+ - or * " to display the result in the bottom matrix:
|
|
|
|
|
further reading | more topics » |
| mjbWorld program | 3D theory |
3D physics |
3D maths |
3D programming | technology |
about site |
sitemap A-Z |
| index | algebra | geometry | calculus | graph theory | statistics | principles | standards |
| index | equations | multi-dim | vector | matrix | complex | clifford | groups |
| index | transforms | arithmetic | functions | orthogonal | factoring | resources | tensors |
| index | 2D | 3D | 4D |
The following calculator allows you to calculate 4x4 matrix arithmetic. Enter the values into the matrix into the top two matries and then press "+ - or * " to display the result in the bottom matrix:
To add matrices just add the corresponding elements, for 4x4 matrices then,
|
= |
|
+ |
|
To subtract matrices just subtract the corresponding elements, for 4x4 matrices then,
|
= |
|
- |
|
The multiplication of two 4x4 matrices is:
| ma00*mb00 + ma01*mb10 + ma02*mb20 + ma03*mb30 | ma00*mb01 + ma01*mb11 + ma02*mb21 + ma03*mb31 | ma00*mb02 + ma01*mb12 + ma02*mb22 + ma03*mb32 | ma00*mb03 + ma01*mb13 + ma02*mb23 + ma03*mb33 |
| ma10*mb00 + ma11*mb10 + ma12*mb20 + ma13*mb30 | ma10*mb01 + ma11*mb11 + ma12*mb21 + ma13*mb31 | ma10*mb02 + ma11*mb12 + ma12*mb22 + ma13*mb32 | ma10*mb03 + ma11*mb13 + ma12*mb23 + ma13*mb33 |
| ma20*mb00 + ma21*mb10 + ma22*mb20 + ma23*mb30 | ma20*mb01 + ma21*mb11 + ma22*mb21 + ma23*mb31 | ma20*mb02 + ma21*mb12 + ma22*mb22 + ma23*mb32 | ma20*mb03 + ma21*mb13 + ma22*mb23 + ma23*mb33 |
| ma30*mb00 + ma31*mb10 + ma32*mb20 + ma33*mb30 | ma30*mb01 + ma31*mb11 + ma32*mb21 + ma33*mb31 | ma30*mb02 + ma31*mb12 + ma32*mb22 + ma33*mb32 | ma30*mb03 + ma31*mb13 + ma32*mb23 + ma33*mb33 |
|
metadata block |
|
| see also: |
|
| Correspondence about this page | |
|
Book Shop - Further reading. Where I can, I have put links to Amazon for books that are relevant to the subject, click on the appropriate country flag to get more details of the book or to buy it from them. |
|
|
Commercial Software Shop Where I can, I have put links to Amazon for commercial software, not directly related to the software project, but related to the subject being discussed, click on the appropriate country flag to get more details of the software or to buy it from them. |
|
Can you help? Please send me any improvements to here. I would appreciate ideas to make the pages more useful including error correction, ideas for new pages, improvements to wording. It helps if you quote the full URL of the page. |
|
|
Terminology and Notation Specific to this page here: |
|
|
program I am working on a project which uses these principles, if you would like to help me with this you are welcome to join in, here: |
|
This site may have errors. Don't use for critical systems.
Copyright (c) 1998-2008 Martin John Baker - All rights reserved - privacy policy.
