I know to find if a set of vectors are linearly indepenent I have to put them in a matrix and get the rref. if the rref == the identity matrix, then the ...

It consists of the linear algebra part of MA212, covering the following topics: Vector spaces and dimension. Linear transformations, kernel and image. Real inner products. Orthogonal matrices, and the ...

sepia_img = img.dot(sepia_matrix.T) Since sepia matrix rows do not have unit sums, once the full sepia image is constructed, we need to rescale the result. sepia_img /= sepia_img.max() then extend ...

Individual behavior under uncertainty is characterized using a new axiom, ordinal independence, which is a weakened form of the von Neumann-Morgcnslern independence axiom. It states that if two ...