
linear algebra - How to find the transformation matrix given two ...
How do I find out the transformation matrix from this information? I know I could manually write down a new system of equations using the elements of the matrix as my unknowns, but I supposed that's too …
linear algebra - Mirroring the Y axis of a transformation matrix ...
Sep 25, 2020 · I have a 4x4 transformation matrix which represents a 3D transformation in a coordinate space where Y is down, but I need to apply the transformation matrix in a space where Y is up. In …
How to find transformation matrix for converting one basis to another ...
Oct 25, 2021 · If we have a linear transformation that takes basis to basis, then it should be invertible. But your matrix is not invertible.
How to find camera position and rotation from a 4x4 matrix?
To find the intrinsic and extrinsic parameters, I calibrated it and the software gave me the extrinsic parameters as a 4 x 4 matrix. This seems to be a 4x4 homogeneous transformation matrix. The va...
Given this transformation matrix, how do I decompose it into ...
Given this transformation matrix, how do I decompose it into translation, rotation and scale matrices? Ask Question Asked 13 years, 1 month ago Modified 3 years, 3 months ago
Why when transforming matrices is the transformation matrix first ...
Aug 18, 2017 · 1 Is there a reason that the transformation matrix is on the left? For example: [2 −1 1 1][x y z v] [2 1 1 1] [x z y v] I understand that when multiplying matrices order is important, but is there …
linear algebra - How to find a transformation matrix, given coordinates ...
9 Organize each of the points of the starting triangle as columns in a matrix $\mathbf {U}$, and each of the points of the resulting triangle as columns in a matrix $\mathbf {V}$. Thus, both $\mathbf {U}$ …
extracting rotation, scale values from 2d transformation matrix
May 6, 2014 · extracting rotation, scale values from 2d transformation matrix Ask Question Asked 15 years, 1 month ago Modified 7 years, 4 months ago
matrices - How to figure out the transformation matrix for rotation and ...
Apr 29, 2021 · The shear transformation, when acting on its own (without a rotation in front), sends the first basis vector to itself (i.e. [10] [1 0]), and the second basis vector to [11] [1 1]. So that's how you …
How to construct change of basis matrix - Mathematics Stack Exchange
Jan 6, 2014 · That means that the change of basis matrix (from the A A -basis to the standard basis) is exactly what you've called A A. Similarly for part 2. So the thing you want is B−1A B 1 A. You'll need …