"matrix" in inglés with examples - Collocation dictionary inglés
- Assuming that translation is not used transformations can be combined by simply multiplying the associated transformation matrices.
- If the L2 norm of and is unity, the transformation matrix can be expressed as:
- Therefore, any linear transformation can be also represented by a general transformation matrix.
- Thus two types of transformation matrices are consistent with group postulates:
- The transformation matrix should account for power in variance in the two frames of reference.
- The transformation matrix is proper orthogonal in order to allow rotations but no reflections.
- Indeed, when an orthogonal transformation matrix produces a reflection, its determinant is -1.
- The transformation matrix is universal for all four-vectors, not just 4-dimensional spacetime coordinates.
- The components of a tensor transform in a similar manner with a transformation matrix for each index.
- Translation and rotation combined in one transformation matrix is:
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