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Lecture

# Cramer's Rule, Inverse Matrix, and Volume

Home > Mathematics > Algebra > Linear Algebra > Cramer's Rule, Inverse Matrix, and Volume Lecture Details:

Catherine Brown gives the first lecture in the D.H. Lawrence series

Lectures:
• ### The Geometry of Linear Equations

00:39:49Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Elimination with Matrices

00:47:42Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Multiplication and Inverse Matrices

00:46:49Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Factorization into A = LU

00:50:13Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Transposes, Permutations, Spaces R^n

00:47:42Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Column Space and Nullspace

00:46:01Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Solving Ax = 0: Pivot Variables, Special Solutions

00:43:20Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Solving Ax = b: Row Reduced Form R

00:47:20Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Independence, Basis, and Dimension

00:50:14Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### The Four Fundamental Subspaces

00:49:20Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Matrix Spaces; Rank 1; Small World Graphs

00:45:56Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Graphs, Networks, Incidence Matrices

00:47:57Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Quiz 1 Review

00:47:40Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Orthogonal Vectors and Subspaces

00:49:48Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Projections onto Subspaces

00:48:51Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Projection Matrices and Least Squares

00:48:05Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Orthogonal Matrices and Gram-Schmidt

00:49:25Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Properties of Determinants

00:49:12Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Determinant Formulas and Cofactors

00:53:17Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Cramer's Rule, Inverse Matrix, and Volume

00:51:01Gilbert Strang

Catherine Brown gives the first lecture in the D.H. Lawrence series

• ### Eigenvalues and Eigenvectors

00:51:23Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Diagonalization and Powers of A

00:51:50Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Differential Equations and exp(At)

00:51:03Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Markov Matrices; Fourier Series

00:51:12Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Quiz 2 Review

00:48:20Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Symmetric Matrices and Positive Definiteness

00:43:52Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Complex Matrices; Fast Fourier Transform

00:47:52Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Positive Definite Matrices and Minima

00:50:40Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Similar Matrices and Jordan Form

00:45:56Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Singular Value Decomposition

00:41:35Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Linear Transformations and Their Matrices

00:49:27Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Change of Basis; Image Compression

00:50:14Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Quiz 3 Review

00:47:06Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Left and Right Inverses; Pseudoinverse

00:41:53Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.

• ### Final Course Review

00:43:26Gilbert Strang

In this lecture, Professor Gilbert Strang provides an introduction to eigenvalues and eigenvectors.