Support the production of this course by joining Wrath of Math to access all my Linear Algebra videos plus lecture notes at the premium tier! 🛍 Check out my math fashion brand! Linear Algebra course: Linear Algebra exercises: Get the textbook! Business Inquiries: wrathofmathlessons@ We introduce the definition of a diagonal matrix. We'll see examples and nonexamples of diagonal matrices and look at some nice properties of diagonal matrices which make matrix operations with diagonal matrices easy to carry out. We consider powers of a diagonal matrix, inverses of diagonal matrices, and matrix products with diagonal matrices. A diagonal matrix is a square matrix where all off diagonal entries are zero. #linearalgebra ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: ◆ Donate on PayPal: Follow Wrath of Math on... ● Instagram: ● Twitter: 0:00 Intro 0:10 Definition 0:34 Examples of Diagonal Matrices 1:29 Non-Examples of Diagonal Matrices 1:50 General Diagonal Matrix 2:04 Inverse of Diagonal Matrix 4:19 Powers of Diagonal Matrix 4:40 Operations with Diagonal Matrix 6:02 Diagonal Matrix Multiplication 8:40 Conclusion