This page (revision-1) was last changed on 29-Nov-2024 16:16 by UnknownAuthor

Only authorized users are allowed to rename pages.

Only authorized users are allowed to delete pages.

Page revision history

Version Date Modified Size Author Changes ... Change note

Page References

Incoming links Outgoing links
Identity matrix
Identity matrix

Version management

Difference between version and

At line 1 added 41 lines
!!! Overview
[{$pagename}] (or sometimes ambiguously called a unit matrix), of size n is the n × n square [matrix] with ones on the main diagonal and zeros elsewhere and is often denoted by In, or simply by I.
[Identity matrix/identity-matrix.png]
The [{$pagename}] itself is invertible, being its own inverse
The [{$pagename}] of a given size is the only [idempotent] [matrix] of that size having full rank. That is, [{$pagename}] is the only [matrix] such that:
* when multiplied by itself the result is itself
* all of its rows, and all of its columns, are [linearly independent].
The principal square root of an [{$pagename}] is itself, and this is its only positive definite square root. Every [{$pagename}] with at least two rows and columns has an infinitude of symmetric square roots.
!! More Information
There might be more information for this subject on one of the following:
[{ReferringPagesPlugin before='*' after='\n' }]
This page (revision-1) was last changed on 29-Nov-2024 16:16 by UnknownAuthorTop