Master Matrix Operations: Addition, Multiplication, and Transpose Simplified

This video is part of our comprehensive linear algebra series. In this lesson, we’ll cover Matrix Operations from section 2.1, including:

How to add and subtract matrices
Scalar multiplication
Matrix multiplication
Finding the transpose of a matrix
Using matrix multiplication for linear transformations
Along with clear, step-by-step explanations, you’ll be able to follow along with free guided notes linked below to help you understand these fundamental matrix operations.

*Link to Guided Notes*
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*Timestamps*
00:00 Introduction
02:00 Matrix Addition
03:50 Matrix Subtraction
06:30 Scalar Multiplication
08:00 Matrix Multiplication
14:00 Properties of Matrix Multiplication
17:30 Transpose of a Matrix
21:00 Linear Transformations with Matrices

*More About Understand The Math*
Understand The Math provides students and lifelong learners with access to free, straightforward, and engaging mathematics instruction. I’m Cheryl Hile, the founder of Understand The Math, and I’m passionate about ensuring that accurate and engaging mathematics instruction is available to everyone! I have a Ph.D. in Engineering Science and Applied Mathematics and have over 25 years of teaching experience at the university level. This channel provides videos that contain clear explanations, step-by-step problem solving strategies, and carefully worked out example problems. In the video descriptions, you'll find a link to free guided notes. Students can use these notes to highlight concepts and fill in answers to example problems while watching the videos, and later, they can review what they've learned.

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