The introduction to Linear Algebra starts with Matrices and Determinants. Learn about Determinants , Matrices and their applications-A College Mathematics course. Learn about cofactors, Laplace's expansion. Upper and lower triangular matrices are discussed here. You will learn about indempotent, singular matrices and how to multiply 2 matrices. How to solve problems on determinants is discussed. Transpose of a matrix, symmetric and skew symmetric matrices, Adjoint of a matrix are taught here. You will learn about rank of a matrix and properties of rank of a matrix. Elementary row and column operations are introduced. The lesson concludes with problems on determining the rank of a matrix.