Linear algebra is a important mathematics discipline that has a wide range of applications. It is mainly used in science and engineering to solve problems that involve linear equations and diagonalization. At the undergraduate level, this discipline is typically taught using algebraic structures like groups, rings, and fields (known as abstract linear algebra). In many situations, however, the applications of linear algebra are best discussed using matrices themselves. This book aims to explain the concepts of linear algebra in both an abstract and applied manner. Further topics include matrix arithmetic operations and theory, basic properties, determinants, change of basis in linear spaces and transformations/representations of matrices.
Linear algebra is a branch of mathematics concerned with vector spaces and linear mappings between such spaces. It has multiple uses in many scientific and engineering disciplines and is an important part of both pure and applied mathematics.
Linear algebra is a branch of mathematics for studying vector spaces, i.e. infinite-dimensional objects. Linear algebra began with the idea of extending the operations of real numbers to vectors…
practical linear algebra for machine learning pdf
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