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  1. 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 …

  2. 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 …

  3. 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.

  4. 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...

  5. 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

  6. 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 …

  7. 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 $\mathbf {U}$ …

  8. 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

  9. 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 …

  10. 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 …