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### This note covers the following topics.

Linear algebra determinant. Despite two linear algebra classes my knowledge consisted of matrices determinants eigen something something. In linear algebra the determinant is a value that can be computed from the elements of a square matrixthe determinant of a matrix a is denoted deta det a or a geometrically it can be viewed as the volume scaling factor of the linear transformation described by the matrix. We will begin our journey through linear algebra by defining and conceptualizing what a vector is rather than starting with matrices and matrix operations like in a more basic algebra course and defining some basic operations like addition subtraction and scalar multiplication. This course covers matrix theory and linear algebra emphasizing topics useful in other disciplines such as physics economics and social sciences natural sciences and engineering. This section contains a complete set of video lectures on linear algebra along with transcripts and related resource files.

Well lets try this course format. Linear algebra from imperial college london. It parallels the combination of theory and applications in professor strangs textbook introduction to linear algebra. In this course on linear algebra we look at what linear algebra is and how it relates to vectors and matrices. It also publishes articles that give significant applications of matrix theory or linear algebra to other branches of mathematics and to other sciences.

Linear algebra matrix algebra homogeneous systems and vector subspaces basic notions determinants and eigenvalues diagonalization the exponential of a matrix applicationsreal symmetric matrices classification of conics and quadrics conics and the method of lagrange multipliers normal modes. Then we look through what vectors and matrices are and. Name the course linear algebra but focus on things called matrices and vectors teach concepts like rowcolumn order with mnemonics instead. Linear algebra and its applications publishes articles that contribute new information or new insights to matrix theory and finite dimensional linear algebra in their algebraic arithmetic combinatorial geometric or numerical aspects.

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