Richard Sinkhorn, Linear Transformations Under Which the Doubly Stochastic Matrices are Invariant, Proceedings of the American Mathematical Society, Vol. 27, No. 2 (Feb., 1971), pp. 213-221 ...

Lord it's been a while since Linear Algebra. IIRC you multiply your source matrix by the inverse of the transformation matrix to restore the source to it's original state. Edit: ahh, here you go ...

Specific topics include solving systems of linear equations, linear independence, linear transformations, matrix inverses, vector spaces, and least-squares problems. We will also cover a sequence of ...

The affine rank minimization problem consists of finding a matrix of minimum rank that satisfies a given system of linear equality constraints. Such problems have appeared in the literature of a ...

Linear Algebra Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical ...

So far, researchers have successfully designed monochromatic, or single wavelength illumination, diffractive networks for implementing a single linear transformation (matrix multiplication) operation.

Transforming light: illustration of how an arbitrary linear transform can be achieved in an all-optical system using diffractive surfaces (Courtesy: Ozcan Lab/UCLA) Researchers in the US have shown ...