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 it is recommended that students take this course after completing a university-level single variable calculus course. There are no derivatives or integrals involved, but students are expected to have a basic level of mathematical maturity. Despite this, anyone interested in learning the basics of matrix algebra is welcome to join.

# Matrix Algebra for Engineers

This course is part of Mathematics for Engineers Specialization

Instructor: Jeffrey R. Chasnov

Top Instructor

**101,693** already enrolled

Included with

(4,311 reviews)

## What you'll learn

Matrices

Systems of Linear Equations

Vector Spaces

Eigenvalues and eigenvectors

## Details to know

Add to your LinkedIn profile

21 assignments

# See how employees at top companies are mastering in-demand skills

## Build your subject-matter expertise

- Learn new concepts from industry experts
- Gain a foundational understanding of a subject or tool
- Develop job-relevant skills with hands-on projects
- Earn a shareable career certificate

## Earn a career certificate

Add this credential to your LinkedIn profile, resume, or CV

Share it on social media and in your performance review

## There are 4 modules in this course

Matrices are rectangular arrays of numbers, symbols, or expressions, arranged in rows and columns. We define matrices and show how to add and multiply them, define some special matrices such as the identity matrix and the zero matrix, learn about the transpose and inverse of a matrix, and discuss orthogonal and permutation matrices.

#### What's included

10 videos27 readings6 assignments

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, which can be used to compute the matrix inverse. We also learn how to find the LU decomposition of a matrix, and how this decomposition can be used to efficiently solve a system of linear equations with changing right-hand sides.

#### What's included

7 videos6 readings4 assignments

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.

#### What's included

13 videos14 readings6 assignments

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, and by row or column elimination. We also learn how to diagonalize a matrix using its eigenvalues and eigenvectors, and how this can be used to easily calculate a matrix raised to a power.

#### What's included

13 videos20 readings5 assignments

### Instructor

Top Instructor

### Recommended if you're interested in Math and Logic

The Hong Kong University of Science and Technology

The Hong Kong University of Science and Technology

Korea Advanced Institute of Science and Technology(KAIST)

The Hong Kong University of Science and Technology

## Why people choose Coursera for their career

## Learner reviews

Showing 3 of 4311

4,311 reviews

- 5 stars
88.15%

- 4 stars
10.37%

- 3 stars
1.08%

- 2 stars
0.18%

- 1 star
0.20%

## Open new doors with Coursera Plus

Unlimited access to 7,000+ world-class courses, hands-on projects, and job-ready certificate programs - all included in your subscription

## Advance your career with an online degree

Earn a degree from world-class universities - 100% online

## Join over 3,400 global companies that choose Coursera for Business

Upskill your employees to excel in the digital economy

## Frequently asked questions

Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:

The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.

The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.

When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. Your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

If you subscribed, you get a 7-day free trial during which you can cancel at no penalty. After that, we don’t give refunds, but you can cancel your subscription at any time. See our full refund policy.