Assertion: ellipsoid's length | /r/HasProperty | computed
Facets:
value: from the eigenvalues
type: OTHER
Source sentences:
text: If the linear transformation is represented by a symmetric 3-by-3 matrix, then the eigenvectors of the matrix are orthogonal (due to the spectral theorem) and represent the directions of the axes of the ellipsoid; the lengths of the semi-axes are computed from the eigenvalues.
text: If the linear transformation is represented by a symmetric 3-by-3 matrix, then the eigenvectors of the matrix are orthogonal (due to the spectral theorem) and represent the directions of the axes of the ellipsoid; the lengths of the semi-axes are computed from the eigenvalues.
text: The eigenvectors I calculated should be orthogonal and represent the directions of the axes of the ellipsoid (and I note that these axes are not collinear with the axes of my right-handed Cartesian x, y, z (z-upward) coordinate system, thus the ellipsoid is rotated at some angle(s) to my coordinate system); the lengths of the semi-axes of the ellipsoid are computed from the eigenvalues.