Lectures on Linear Algebra and Matrices

Lectures on Linear Algebra and Matrices: Contents: Vectors and Vector Spaces; Matrices and Linear Algebra; Eigenvalues and Eigenvectors; Unitary Matrices; Hermitian Theory; Normal Matrices; Factorization Theorems; Jordan Normal Form; Hermitian and Symmetric Matrices; Nonnegative Matrices.

Motion and Mass: First Steps into Physics

Motion and Mass: First Steps into Physics: From these simple ideas about mass and motion, and a few experiments that anyone can do, we can lay the foundations of Physics: they are expressed mathematically in the 'laws of motion', which form the starting point for the Physical Sciences.