18.700 | Fall 2013 | Undergraduate

Linear Algebra

Course Description

This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with 18.06 Linear Algebra, more emphasis is placed on theory and …
This course offers a rigorous treatment of linear algebra, including vector spaces, systems of linear equations, bases, linear independence, matrices, determinants, eigenvalues, inner products, quadratic forms, and canonical forms of matrices. Compared with 18.06 Linear Algebra, more emphasis is placed on theory and proofs.

Course Info

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A set of orthogonal vectors in an inner product space.
Gram–Schmidt process which is a method for orthonormalising a set of vectors in an inner product space. (Image from public domain.)