Linear algebra and its applications Fundamentals Duality Linear mappings Matrices Determinant and trace Spectral theory Euclidean structure Spectral theory of self adjoint mappings Calculus of vector and matrix valued functions Matrix inequalities Kinematics and dynamics Convexity The duality theorem Normed linear spaces Linear mappings between normed linear spaces Positive matrices How to solve systems of linear equations How to calculate the eigenvalues of self adjoint matrices Solutions