Matrices | Summary

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Del curso dictado por University of London

Quantitative Foundations for International Business

163 calificaciones

University of London

Quantitative Foundations for International Business

163 calificaciones

Curso 3 de 6 en SpecializationInternational Business Essentials

This course provides the essential mathematics required to succeed in the finance and economics related modules of the Global MBA, including equations, functions, derivatives, and matrices. You can test your understanding with quizzes and worksheets, while more advanced content will be available if you want to push yourself. This course forms part of a specialisation from the University of London designed to help you develop and build the essential business, academic, and cultural skills necessary to succeed in international business, or in further study. If completed successfully, your certificate from this specialisation can also be used as part of the application process for the University of London Global MBA programme, particularly for early career applicants. If you would like more information about the Global MBA, please visit https://mba.london.ac.uk/. This course is endorsed by CMI

De la lección

Matrices

The analysis and even the comprehension of systems of linear equations is much easier when we use key mathematic concepts such as matrices, vectors, and determinants. This week, we’ll introduce these concepts and explain their application to economic models

Matrices - An Introduction2:51

1. What Is A Matrix?4:43

2. The Square Matrix1:38

3. Matrix Operations1:24

3.1. Addition3:33

3.2. Subtraction1:24

3.3. Scalar Multiplication1:40

3.4. Multiplication of Matrices3:41

3.5. Multiplication Procedure3:35

3.6. General Rules for Matrix Addition and Multiplication by Scalars0:53

4. The Inverse2:46

5. The Transpose2:30

6. Identity Matrix3:21

6.1. Properties of the Identity Matrix2:03

7. Linear Systems of Equation4:20

Matrices | Summary2:58

Conoce a los instructores

George Kapetanios
Professor of Finance and Econometrics
King's College London

[MUSIC]

The material presented in quantitative foundation for

international business has dealt, up to this point, with mathematical models

having a relatively low number of variables and functions.

However, most of the mathematical models used by economists and

business analysts ultimately involve many equations and variables.

In turn, they usually express one or more of the endogenous variables as

depending on several exogenous variables and parameters, and using many functions.

Put another way, they use a system of equations,

the most famous of which is probably the supply and demand system.

These equations may or may not be linear.

In case all of the equations in such systems are linear,

then the material belongs to an area of mathematics called linear algebra.

Linear algebra is very useful as it allows the representation of complex systems

of linear equations in a very compact form, by using vectors and matrices.

That is, an array of numbers together with vectors and

the calculation of the terminals make the analysis and

even the comprehension of systems of linear equations much easier.

This week has been concerned with providing the key ingredients for

potential study on matrices, their use and practical applications.

The material is by no means meant to be exhaustive.

In detail,

we went through the basic concepts of a matrix, describing its shape and use.

After having introduced the basic concepts,

we have been looking at some rules of calculation and manipulation.

We saw the idea of equality of matrices, they are transposed,

how to add and subtract matrices, how to multiply a matrix by a scalar,

how to multiply matrices with each other and

how to calculate the inverse of a matrix.

We have been focusing on the conditions that must be met for

all these manipulations to actually take place.

We have been presenting a system of equations using matrix multiplication

in the case where the system is linear.

Finally, we have provided some examples from business, economics and finance,

that have shown the many advantages of using these mathematical tools and

practical application to mathematical models.

Thank you very much.

[MUSIC]

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