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 ...

Description: Vector spaces, linear transformations, matrices. Solution of systems of linear equations. Determinant. Inner product spaces; orthogonal reduction of symmetric matrices. Direct sum ...

1 Explain and discuss basic concepts/properties such as linear independence, basis, dimension of vector spaces.; 2 Use various methods for solving systems of linear equations.; 3 Find the matrix ...