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.
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Matrix Algebra for Engineers
Université des sciences et technologies de Hong KongÀ propos de ce cours
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Résultats de carrière des étudiants
33%
ont commencé une nouvelle carrière après avoir terminé ce cours
17%
ont bénéficié d'un avantage concret dans leur carrières grâce à ce cours
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Certificat partageable
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Niveau débutant
Approx. 20 heures pour terminer
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Sous-titres : Arabe, Français, Portugais (européen), Italien, Vietnamien, Allemand, Russe, Anglais, Espagnol
Ce que vous allez apprendre
Matrices
Systems of Linear Equations
Vector Spaces
Eigenvalues and eigenvectors
Compétences que vous acquerrez
Linear AlgebraEngineering Mathematics
Résultats de carrière des étudiants
33%
ont commencé une nouvelle carrière après avoir terminé ce cours
17%
ont bénéficié d'un avantage concret dans leur carrières grâce à ce cours
Dates limites flexibles
Réinitialisez les dates limites selon votre disponibilité.
Certificat partageable
Obtenez un Certificat lorsque vous terminez
100 % en ligne
Commencez dès maintenant et apprenez aux horaires qui vous conviennent.
Niveau débutant
Approx. 20 heures pour terminer
Anglais
Sous-titres : Arabe, Français, Portugais (européen), Italien, Vietnamien, Allemand, Russe, Anglais, Espagnol
Offert par
Université des sciences et technologies 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.
Programme du cours : ce que vous apprendrez dans ce cours
5 heures pour terminer
MATRICES
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.
5 heures pour terminer
11 vidéos (Total 84 min), 25 lectures, 5 quiz
4 heures pour terminer
SYSTEMS OF LINEAR EQUATIONS
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 compute a matrix inverse. We learn how to find the LU decomposition of a matrix, and how to use this decomposition to efficiently solve a system of linear equations with evolving right-hand sides.
4 heures pour terminer
7 vidéos (Total 71 min), 6 lectures, 3 quiz
5 heures pour terminer
VECTOR SPACES
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.
5 heures pour terminer
13 vidéos (Total 140 min), 14 lectures, 5 quiz
5 heures pour terminer
EIGENVALUES AND EIGENVECTORS
An eigenvector of a matrix is a nonzero column vector that when multiplied by the matrix is only 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.
5 heures pour terminer
13 vidéos (Total 120 min), 20 lectures, 4 quiz
Avis
Meilleurs avis pour MATRIX ALGEBRA FOR ENGINEERS
par DL30 avr. 2020
Very in-depth class for matrix algebra. I am a biochemistry student and have learned this in the past but re-taking this online course again has revamped my learning for linear algebra.
par RH6 nov. 2018
Very well-prepared and presented course on matrix/linear algebra operations, with emphasis on engineering considerations. Lecture notes with examples in PDF form are especially helpful.
par AI8 nov. 2020
Teacher was really friendly. Linear Algebra was a threat for me, but it is fundamental for engineering. After this course I am so much confident on linear algebra. Thank you very much.
par P18 juil. 2020
I have learnt the preliminary knowledge of vector spaces and eigen value problem that will help me to study my Quantum information quite well.Thank you sir for such a wonderful course.
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