## Acerca de este Curso

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## 50%

comenzó una nueva carrera después de completar estos cursos

## 33%

consiguió un beneficio tangible en su carrera profesional gracias a este curso
100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Fechas límite flexibles
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Nivel principiante
Aprox. 20 horas para completar
Inglés (English)

### Qué aprenderás

• Matrices

• Systems of Linear Equations

• Vector Spaces

• Eigenvalues and eigenvectors

Linear AlgebraEngineering Mathematics

## 50%

comenzó una nueva carrera después de completar estos cursos

## 33%

consiguió un beneficio tangible en su carrera profesional gracias a este curso
100 % en línea
Comienza de inmediato y aprende a tu propio ritmo.
Fechas límite flexibles
Restablece las fechas límite en función de tus horarios.
Nivel principiante
Aprox. 20 horas para completar
Inglés (English)

### ofrecido por ## Programa - Qué aprenderás en este curso

Calificación del contenido97%(6,766 calificaciones)
Semana
1

## Semana 1

5 horas para completar

## MATRICES

5 horas para completar
11 videos (Total 84 minutos), 25 lecturas, 5 cuestionarios
11 videos
Introduction1m
Definition of a Matrix | Lecture 17m
Addition and Multiplication of Matrices | Lecture 210m
Special Matrices | Lecture 39m
Transpose Matrix | Lecture 49m
Inner and Outer Products | Lecture 59m
Inverse Matrix | Lecture 612m
Orthogonal Matrices | Lecture 74m
Rotation Matrices | Lecture 88m
Permutation Matrices | Lecture 96m
25 lecturas
Welcome and Course Information1m
How to Write Math in the Discussions Using MathJax1m
Construct Some Matrices5m
AB=AC Does Not Imply B=C5m
Matrix Multiplication Does Not Commute5m
Associative Law for Matrix Multiplication10m
AB=0 When A and B Are Not zero10m
Product of Diagonal Matrices5m
Product of Triangular Matrices10m
Transpose of a Matrix Product10m
Any Square Matrix Can Be Written as the Sum of a Symmetric and Skew-Symmetric Matrix5m
Construction of a Square Symmetric Matrix5m
Example of a Symmetric Matrix10m
Sum of the Squares of the Elements of a Matrix10m
Inverses of Two-by-Two Matrices5m
Inverse of a Matrix Product10m
Inverse of the Transpose Matrix10m
Uniqueness of the Inverse10m
Product of Orthogonal Matrices5m
The Identity Matrix is Orthogonal5m
Inverse of the Rotation Matrix5m
Three-dimensional Rotation10m
Three-by-Three Permutation Matrices10m
Inverses of Three-by-Three Permutation Matrices10m
5 ejercicios de práctica
Diagnostic Quiz5m
Matrix Definitions10m
Transposes and Inverses10m
Orthogonal Matrices10m
Week One Assessment30m
Semana
2

## Semana 2

4 horas para completar

## SYSTEMS OF LINEAR EQUATIONS

4 horas para completar
7 videos (Total 71 minutos), 6 lecturas, 3 cuestionarios
7 videos
Gaussian Elimination | Lecture 1014m
Reduced Row Echelon Form | Lecture 118m
Computing Inverses | Lecture 1213m
Elementary Matrices | Lecture 1311m
LU Decomposition | Lecture 1410m
Solving (LU)x = b | Lecture 1511m
6 lecturas
Gaussian Elimination15m
Reduced Row Echelon Form15m
Computing Inverses15m
Elementary Matrices5m
LU Decomposition15m
Solving (LU)x = b10m
3 ejercicios de práctica
Gaussian Elimination20m
LU Decomposition15m
Week Two Assessment30m
Semana
3

## Semana 3

5 horas para completar

## VECTOR SPACES

5 horas para completar
13 videos (Total 140 minutos), 14 lecturas, 5 cuestionarios
13 videos
Vector Spaces | Lecture 167m
Linear Independence | Lecture 179m
Span, Basis and Dimension | Lecture 1810m
Gram-Schmidt Process | Lecture 1913m
Gram-Schmidt Process Example | Lecture 209m
Null Space | Lecture 2112m
Application of the Null Space | Lecture 2214m
Column Space | Lecture 239m
Row Space, Left Null Space and Rank | Lecture 2414m
Orthogonal Projections | Lecture 2511m
The Least-Squares Problem | Lecture 2610m
Solution of the Least-Squares Problem | Lecture 2715m
14 lecturas
Zero Vector5m
Examples of Vector Spaces5m
Linear Independence5m
Orthonormal basis5m
Gram-Schmidt Process5m
Gram-Schmidt on Three-by-One Matrices5m
Gram-Schmidt on Four-by-One Matrices10m
Null Space10m
Underdetermined System of Linear Equations10m
Column Space5m
Fundamental Matrix Subspaces10m
Orthogonal Projections5m
Setting Up the Least-Squares Problem5m
Line of Best Fit5m
5 ejercicios de práctica
Vector Space Definitions15m
Gram-Schmidt Process15m
Fundamental Subspaces15m
Orthogonal Projections15m
Week Three Assessment30m
Semana
4

## Semana 4

5 horas para completar

## EIGENVALUES AND EIGENVECTORS

5 horas para completar
13 videos (Total 120 minutos), 20 lecturas, 4 cuestionarios
13 videos
Two-by-Two and Three-by-Three Determinants | Lecture 288m
Laplace Expansion | Lecture 2913m
Leibniz Formula | Lecture 3011m
Properties of a Determinant | Lecture 3115m
The Eigenvalue Problem | Lecture 3212m
Finding Eigenvalues and Eigenvectors (1) | Lecture 3310m
Finding Eigenvalues and Eigenvectors (2) | Lecture 347m
Matrix Diagonalization | Lecture 359m
Matrix Diagonalization Example | Lecture 3615m
Powers of a Matrix | Lecture 375m
Powers of a Matrix Example | Lecture 386m
Concluding Remarks3m
20 lecturas
Determinant of the Identity Matrix5m
Row Interchange5m
Determinant of a Matrix Product10m
Compute Determinant Using the Laplace Expansion5m
Compute Determinant Using the Leibniz Formula5m
Determinant of a Matrix With Two Equal Rows5m
Determinant is a Linear Function of Any Row5m
Determinant Can Be Computed Using Row Reduction5m
Compute Determinant Using Gaussian Elimination5m
Characteristic Equation for a Three-by-Three Matrix10m
Eigenvalues and Eigenvectors of a Two-by-Two Matrix5m
Eigenvalues and Eigenvectors of a Three-by-Three Matrix10m
Complex Eigenvalues5m
Linearly Independent Eigenvectors5m
Invertibility of the Eigenvector Matrix5m
Diagonalize a Three-by-Three Matrix10m
Matrix Exponential5m
Powers of a Matrix10m
Acknowledgments
4 ejercicios de práctica
Determinants15m
The Eigenvalue Problem15m
Matrix Diagonalization15m
Week Four Assessment30m

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