Matrices: Learn the Foundations for Linear Algebra 2025

Name: Matrices: Learn the Foundations for Linear Algebra 2025
Rating: 4.8 (18 reviews)

Types of matrices, arithmetic operations, Multiplication of Matrices, Inverse and Determinants.

Created byKashif A., Abdullah A.

Last updated 4/2025

English

English [Auto],

What you'll learn

Perform basic Matric operations, e.g. add, subtract, multiply and divide
Computer Determinants
Compute Inverse of Matrices
Solve systems of linear equations using Matrices

Course content

6 sections • 18 lectures • 1h 30m total length

Introduction to Matrices4:56
Define matrices as rectangular arrays of numbers with elements in rows and columns, named by capital letters, and described by their order, such as 2x2, 3x2, or 1x3, using brackets.
DOWNLOAD the Course Slides from here0:03
Types of Matrices6:13
Explore major matrix types: square, zero, and diagonal matrices, with emphasis on the leading diagonal and the identity matrix, and learn how multiplying by the identity leaves a matrix unchanged.

Addition and Subtraction of Matrices7:38
Learn how to add and subtract matrices with the same dimensions by combining corresponding elements, illustrated with A, B, and C, and extended to any same-order matrices.
Multiplication of Scalars with Matrices2:16
Learn how to perform scalar multiplication of a matrix by a scalar, multiplying each element by the scalar, with examples using a 2x3 matrix and numbers like 7 and -0.5.
Multiplication of two Matrices18:29
Learn how to multiply two matrices by checking the inner dimension condition and computing the product's size. Perform row-by-column dot products, with examples showing noncommutativity and scalar cases.

Inverse and Determinants of 2x2 Matrices5:07
Calculate the determinant of a 2x2 matrix by leading diagonal products minus lagging diagonal products, then decide invertibility: a nonzero determinant yields an inverse, while a zero determinant yields none.
Inverse of 2x2 Matrices4:12
Learn to compute the inverse of a 2x2 matrix using the determinant and adjoint, yielding (1/(ad - bc)) [d -b; -c a], and verify A times A inverse equals I.
Inverse of 2x2 Matrices - EXAMPLE3:22
Demonstrates finding the inverse of a 2x2 matrix using determinant and adjoint. Compute det, form the adjoint by swapping diagonals and negating off-diagonals, then scale by 1/det and verify identity.

Using Matrices to Solve Simultaneous Linear Equations10:29
Using a nonsingular coefficient matrix and its inverse, this lecture shows solving simultaneous linear equations by forming the matrix equation and solving for x and y.
Using Matrices to Solve Simultaneous Linear Equations - EXAMPLE7:40
Convert a pair of linear equations into a 2x2 matrix form and use the inverse to solve for x and y, then verify the solution.
Using Matrices to Solve Simultaneous Linear Equations - CHALLENGE QUESTION2:29
Use matrices to solve a rearranged system of simultaneous linear equations by converting to matrix form and applying the inverse to find x and y, with x=2 and y=3.

SUMMARY10:41
Explore addition and subtraction of matrices by corresponding elements, scalar multiplication, and matrix multiplication, then learn determinants and inverses of two by two matrices to solve linear equations.
BONUS LECTURE0:04
Basic Maths concepts
Royalty Free Resources
Bns1220203:44
Summarize descriptive statistics using categorical and quantitative data with frequency distributions, charts (pie, Pareto, histograms), skewness, ogives, stem plots, scatter plots, cross tabulation, Simpson’s paradox, and block diagram, via examples.
Congratulations! (Tmp)2:33
Thank students for enrolling and invite them to post reviews and feedback to help new learners. Encourage sharing editing project work and exploring other courses, including linear algebra.

Requirements

A basic understanding of Arithmetic
Basic Knowledge of Algebra

Description

This is an introductory course on Matrices. It is intended for high school or undergraduate students, or professionals who want to brush up their knowledge of masic Algebra and Matrices.

The course will lay a great foundation for advanced courses in Data Science, Algebra, Linear Algebra, Machine Learning, etc.

The course is very hands on, with lots of examples and practice problems. The instructor is always available to answer any questions or support you along this journey.

You are also protected by the Udemy 30-Day Money Back Guarantee, so there is really no risk at all. If you are not satisfied for any reason, you are entitled to your money back, no questions asked!

You will also get:

- Lifetime access to the course
- Premium Support in the Q/A section
- Udemy Certificate of Completion
- 30-day money back guarantee

Videos: Watch over my shoulder as I solve problems for multiple math issues you may encounter in class. We start from the beginning... I explain the problem setup and why I set it up that way, the steps I take and why I take them, how to work through the middle parts, and how to simplify the answer when you get it.

So what are you waiting for?

Enroll now, and I'll see you in the class!

Cheers,
Kashif

Who this course is for:

Students in Secondary School and High School
Undergraduate students needing a refresher on Matrices

Matrices: Learn the Foundations for Linear Algebra 2025

What you'll learn

Explore related topics

Course content

Introduction3 lectures • 11min

MATRIX ARITHMETIC3 lectures • 28min

DETERMINANTS AND INVERSE OF 2X2 Matrices3 lectures • 13min

USING MATRICES TO SOLVE SIMULTANEOUS LINEAR EQUATIONS3 lectures • 21min

CONCLUSION AND BONUS MATERIAL5 lectures • 17min

Bonuses1 lecture • 1min

Requirements

Description

Who this course is for: