Abstract
There are various decompositions of matrices in the literature such as lower-upper, singular value and polar decompositions to name a few. In this paper we are concerned with a less standard matrix decomposition for invertible matrices of order 3 with real entries, called TRD decomposition. In this decomposition an invertible matrix is written as product of three matrices corresponding to a shear, a rotation and a dilation map that transform the unit sphere to an ellipsoid. The reason of our interest is the geometric visualization of this decomposition. We also implemented an algorithm to compute this decomposition both in Maple and Matlab.
| Original language | English |
|---|---|
| Pages (from-to) | 176-190 |
| Number of pages | 15 |
| Journal | The Electronic Journal of Mathematics and Technology |
| Volume | 16 |
| Issue number | 3 |
| Publication status | Published - 19 Oct 2022 |
Bibliographical note
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Keywords
- Matrix decomposition
- Ellipsoids
- Geometry