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Este curso forma parte de Programa especializado: Mathematics for Engineers. Ayuda económica disponible. This course is all about matrices, and concisely covers the linear algebra that an engineer should know. The mathematics in this course is presented at the level of an advanced high school student, but typically students should take this course after completing a university-level single variable calculus course.
There are no derivatives or integrals in this course, but students are expected to have attained a sufficient level of mathematical maturity. Nevertheless, anyone who wants to learn the basics of matrix algebra is welcome to join. The course contains 38 short lecture videos, with a few problems to solve after each lecture. And after each substantial topic, there is a short practice quiz.
Solutions to the problems and practice quizzes can be found in instructor-provided lecture notes. There are a total of four weeks in the course, and at the end of each week there is an assessed quiz. HKUST - A dynamic, international research university, in relentless pursuit of excellence, leading the advance of science and technology, and educating the new generation of front-runners for Asia and the world.
Matrices are rectangular arrays of numbers or other mathematical objects. We define matrices and how to add and multiply them, discuss some special matrices such as the identity and zero matrix, learn about transposes and inverses, and define orthogonal and permutation matrices. A system of linear equations can be written in matrix form, and can be solved using Gaussian elimination. We learn how to bring a matrix to reduced row echelon form, and how this can be used to what is the associative law in maths a matrix inverse.
We learn how to find the LU decomposition of a matrix, and how to use this what is the meaning of relations and functions in math to efficiently what is causal agent a system of linear equations with evolving right-hand sides.
A vector space consists of a set of vectors and a set of scalars that is closed under vector addition and scalar multiplication and that satisfies the usual rules of arithmetic. We learn some of the vocabulary and phrases of linear algebra, such as linear independence, span, basis and dimension. We learn about the four fundamental subspaces of a matrix, the Gram-Schmidt process, orthogonal projection, and the matrix formulation of the least-squares problem of drawing a straight line to fit noisy data.
An eigenvector of a matrix is a nonzero column vector that when multiplied by the matrix is what is the associative law in maths multiplied by a scalar, called the eigenvalue. We learn about the eigenvalue problem and how to use determinants to find the eigenvalues of a matrix. We learn how to compute determinants using the Laplace expansion, the Leibniz formula, or by row or column elimination.
We also learn how to diagonalize a matrix using its eigenvalues and eigenvectors, and how this leads to an easy calculation of a matrix raised to a power. Chasnov is outstanding! You will love the course but above all you will adore the way Chasnov marches on through the course and you are acquiring knowledge He is a real what is casually dating mean Very informative and well organized.
The faculty is very responsive when it comes to queries. This is the second course that I have what is the associative law in maths by this faculty. Looking forward to more! Excellent course. The lectures and accompanying textbook and examples really helped to reinforce the material. Chasnov is a great teacher, and I plan to take more courses from him. I found the explanations of prof Chesnoff very simple and informative.
I understood much better the concepts of eigenvalues and vector spaces after chesnoffs' explanations!!! This specialization was developed for engineering students to self-study engineering mathematics. We expect students are already familiar with single variable calculus and computer programming. Students will learn matrix algebra, differential equations, vector calculus and numerical methods. Watch the promotional video! El acceso a las clases y las asignaciones depende del tipo de inscripción que tengas.
Si no ves la opción de oyente:. Desde allí, puedes imprimir tu Certificado o añadirlo a tu perfil de LinkedIn. Si solo quieres leer y visualizar el contenido del curso, puedes auditar el curso sin costo. En ciertos programas de aprendizaje, puedes postularte para recibir ayuda económica o una beca en caso de no poder costear los gastos de la tarifa de inscripción. Visita el Centro de Ayuda al Alumno.
Matrix Algebra for Engineers. Thumbs Up. Jeffrey R. Instructor principal. Inscríbete gratis Comienza el 16 de jul. Acerca de este Curso What is r groups límite flexibles. Certificado para compartir. Programa Especializado. Programa especializado: Mathematics for Engineers. Nivel principiante. Horas para completar. Idiomas disponibles. Systems of Linear Equations. Vector Spaces. Eigenvalues and eigenvectors.
Calificación del instructor. Chasnov Instructor principal. Universidad Científica y Tecnológica de Hong Kong HKUST - A dynamic, international research university, in relentless pursuit of excellence, leading the advance of science and technology, and educating the new generation of front-runners for Asia and the world. Semana 1. Video 11 videos. Promotional Video 4m. Week One Introduction 1m. Definition of a Matrix Lecture 1 7m. Addition and Multiplication of Matrices Lecture 2 10m.
Special Matrices Lecture 3 9m. Transpose Matrix Lecture 4 9m. Inner and Outer Products Lecture 5 9m. Inverse Matrix Lecture 6 12m. Orthogonal Matrices Lecture 7 4m. Rotation Matrices Lecture 8 8m. Permutation Matrices Lecture 9 6m. Reading 27 lecturas. Welcome and Course Information 1m. Certificate or Audit? Construct Some Matrices 5m.
Matrix Addition and Multiplication 5m. Matrix Multiplication Does Not Commute 5m. Associative Law for Matrix Multiplication 10m. Product of Diagonal Matrices 5m. Product of Triangular Matrices 10m. Transpose of a Matrix Product 10m. Construction of a Square Symmetric Matrix 5m. Example of a Symmetric Matrix 10m. Sum of the Squares of the Elements of a Matrix 10m. Inverses of Two-by-Two Matrices 5m. Inverse of a Matrix Product 10m. Inverse of the Transpose Matrix 10m. Uniqueness of i love eating food quotes Inverse 10m.
Determinant as an Area 10m. Product of Orthogonal Matrices 5m. The Identity Matrix is Orthogonal 5m. Inverse of the What is the associative law in maths Matrix 5m. Three-dimensional Rotation 10m.
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