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

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Linear transformation
Linear transformation

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!!! Overview
[{$pagename}] implies there must be no curves (only lines) and the origin must remain fixed.
Think of linear transformations as keeping gridlines parallel and evenly spaced.
[{$pagename}] is a [Function] (or [Algorithm]). So a linear Function is a Function that takes a [vector] input and outputs a [vector].
[{$pagename}] implies there must be no curves (only lines) and the origin must remain fixed. Think of linear transformations as keeping gridlines parallel and evenly spaced.
[Basis vectors] define the coordinate system or origin. Commonly
* iHat (x-axis)
* jHat (y-axis)
* kHat (z-axis)
are used.
[{$pagename}] requires that you perform [matrix multiplication] of the [vector] by the changes to the [Basis vectors] (iHat, jHat) Any [{$pagename}] can be described as iHat and jHat this is because any other vector could be described as a linear combination of those [basis vectors] a [vector] with coordinates x, y is x times iHat plus y times jHat
!! 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