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The Inverse of a Square Matrix
The Inverse of a Square Matrix

Matrices
Matrices

... Definition. If A  (aij ) is an m n matrix and r is a number then rA, the scalar multiple of A by r, is the matrix C  (cij ) where cij  raij , i=1,2…, m and j=1,…,n. The following result is a routine verification of definitions: Proposition 1. The matrices of size m n form a vector space under t ...
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The Law of Momentum Conservation

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Lyapunov Operator Let A ∈ F n×n be given, and define a linear

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Tensor operator

""Spherical tensor operator"" redirects here. For the closely related concept see spherical basis.In pure and applied mathematics, particularly quantum mechanics and computer graphics and applications therefrom, a tensor operator generalizes the notion of operators which are scalars and vectors. A special class of these are spherical tensor operators which apply the notion of the spherical basis and spherical harmonics. The spherical basis closely relates to the description of angular momentum in quantum mechanics and spherical harmonic functions. The coordinate-free generalization of a tensor operator is known as a representation operator
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