How to Calculate a Homogeneous Transformation Matrix

Those who intend to specialise in areas such as robotics and game development (as well as many other areas of engineering and computing) are likely very interested in understanding homogeneous transformation matrices, which allow us to produce a single matrix that represents multiple transformations, combining both linear transformations (ie rotation, reflection, stretch etc) as well as non-linear transformations (ie translation).
In this video we use an example transformation that we have already covered in a previous video, where we worked out the steps to transform a rectangular hyperbola y=1/x into a graph of the form y=(ax+b)/(cx+d), which involved a mixture of translation, reflection and stretch transformations (see our video 'How to Transform a Rectangular Hyperbola' at • How to Transform a Rec... ). In this video we advance on this, proceeding to find the single homogeneous transformation matrix which represents the entire combination of above-mentioned transformations.
For more videos on transformations, see our playlist 'Transformations'
• Transformations
For more videos on matrices see our playlist 'Matrices' at • Matrices
For more reviewers and revision guides see our playlist 'College Entrance Exam Revision Guides and Reviewers' at • College Entrance Exam ...
For more videos on College Entrance Exams generally see our playlist 'UPCAT and Other CETs'
• UPCAT and other CETs
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[@grestyacademy]

For more videos on transformations, check out the Gresty Academy playlist 'Transformations' at th-cam.com/play/PLlX3COjsHPVA9NnbRIfChPBUDh7vQXfsB.html

[@aliciaaquino8846]

salamat

[@grestyacademy]

Most welcome!