Inverse Matrix by Gauss-Jordan Elimination | Linear Algebra

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!    / @wrathofmath   🛍 Check out my math fashion brand! https://mathshion.com/ Linear Algebra course:    • Linear Algebra   Linear Algebra exercises:    • Linear Algebra Exercises   Get the textbook! https://amzn.to/45KYgmA Business Inquiries: [email protected] We introduce a simple inverse matrix algorithm. We find an inverse matrix using Gauss Jordan elimination. By converting a matrix to its reduced row echelon form, we can simultaneously convert an identity matrix into the inverse. We will use an augmented matrix and a sequence of elementary row operations to perform this process. We also see an example of applying this algorithm to a non-invertible matrix. #linearalgebra ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits:   / wrathofmathlessons   ◆ Donate on PayPal: https://www.paypal.me/wrathofmath 0:00 Intro 0:27 Justification of the Algorithm 2:38 Inverse Matrix 1 5:12 Inverse Matrix 2 6:38 Non-Invertible Matrix 7:38 Outro