Least Squares, Determinants and Eigenvalues.The content is organized into three major units: This course, designed for independent study, has been organized to follow the sequence of topics covered in an MIT course on Linear Algebra. Linear models and least-squares problems.

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Orthogonal bases and orthogonal projections.

The basic operations of linear algebra are those you learned in grade school – addition and multiplication to produce “linear combinations.” But with vectors, we move into four-dimensional space and n-dimensional space! Course GoalsĪfter successfully completing the course, you will have a good understanding of the following topics and their applications: This material is presented in the first few lectures of 18.02 Multivariable Calculus, and again here. To succeed in this course you will need to be comfortable with vectors, matrices, and three-dimensional coordinate systems. Prerequisitesġ8.02 Multivariable Calculus is a formal prerequisite for MIT students wishing to enroll in 18.06 Linear Algebra, but knowledge of calculus is not required to learn the subject. Due to its broad range of applications, linear algebra is one of the most widely taught subjects in college-level mathematics (and increasingly in high school). The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering.

Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices.

This course covers matrix theory and linear algebra, emphasizing topics useful in other disciplines.

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