Into the Unknown
Matrix Algebra for EngineersThe Hong Kong University of Science and Technology This is undoubtedly a 5-star course. If you want to learn matrix algebra in the shortest time possible, this course will be your excellent choice. It is designed for engineers, so it left out some of the more abstract material for mathematics students. The…
Determinants can tell us whether a matrix has an inverse, and more importantly it can help us solve the eigenvalue problems. The eigenvalue problem is another way to look at a square matrix in terms of scalars called eigenvalues, and vectors called eigenvectors. Determinants If there is inverse to the matrix of A, you can…
A vector space consists of a set of vectors (column matrices) and a set of scalars (real numbers), which is closed under vector addition and scalar multiplication. For example, assuming u, v are 3-by-1 matrices; a, b are real numbers; w = a u + b v is a 3-by-1 matrix. Linear independence A set…
Matrix is a rectangular array of numbers. In an m*n matrix, m stands for the number of rows, n stands for the number of columns. When m or n equals to 1, we have row vectors or column vectors, respectively. Addition and Multiplication Adding two matrices (with the same size) is just adding each of…