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Linear algebra

Categories
  • Matrices and vectors
  • Dependent and independent vectors
  • Systems of linear equations
  • Determinants, eigenvectors and eigenvalues
  • Linear transformations

Determinants, eigenvectors and eigenvalues

  • Episodes
01
 
The determinant
02
 
The expansion rule
03
 
Properties of determinants
04
 
Singular and invertible matrices
05
 
Eigenvector and eigenvalue
06
 
Finding the eigenvalues and eigenvectors of a 3x3 matrix
07
 
The diagonal form
08
 
Definiteness of matrices
09
 
Quadratic forms
10
 
Definiteness of quadratic forms
Content of the topic


The determinant

The expansion rule

Properties of determinants

Singular and invertible matrices

Eigenvector and eigenvalue

Finding the eigenvalues and eigenvectors of a 3x3 matrix

The diagonal form

Definiteness of matrices

Quadratic forms

Definiteness of quadratic forms

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