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Quiz 2 Review

By Gilbert Strang - MIT

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Lecture Description

Course Description

This is a basic course on matrix theory and linear algebra. Emphasis is given to topics that will be useful in other disciplines, including systems of equations, vector spaces, determinants, eigenvalues, similarity, and positive definite matrices.

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Course Index

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The Geometry of Linear Equations

The Geometry of Linear Equations

Elimination with Matrices

Elimination with Matrices

Multiplication and Inverse Matrices

Multiplication and Inverse Matrices

Factorization into A = LU

Factorization into A = LU

Transposes, Permutations, Spaces R^n

Transposes, Permutations, Spaces R^n

Column Space and Nullspace

Column Space and Nullspace

Solving Ax = 0: Pivot Variables, Special Solutions

Solving Ax = 0: Pivot Variables, Special Solutions

Solving Ax = b: Row Reduced Form R

Solving Ax = b: Row Reduced Form R

Independence, Basis, and Dimension

Independence, Basis, and Dimension

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About Massachusetts Institute of Technology

The Massachusetts Institute of Technology (MIT), founded in 1861, is located in Cambridge, Massachusetts, and is one of the foremost U.S. institutions in science and technology. It is comprised of five schools and one college, including the renowned School of Engineering and Sloan School of Management, offering Bachelor's, Master's, and Doctorate degrees. Notable alumni include Ben Bernanke, Chairman of the Federal Reserve, Benjamin Netanyahu, prime minister of Israel, and American astronaut "Buzz" Aldrin.

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License:
Source:MIT Open Courseware

Symmetric Matrices and Positive Definiteness

Lecture number 25 of 35 from Linear Algebra

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