Master Finding the Inverse of a 2x2 Matrix | Formula and Examples

In this video, we dive into the concept of finding the inverse of a 2x2 matrix in linear algebra, covering section 1.2 of the course. We walk through step-by-step example problems, including solving systems of linear equations using matrix inverses. You'll also learn about determinants, singular vs. non-singular matrices, and how to verify if a matrix is invertible. Don't forget to download the free guided notes linked below!

*Link to Guided Notes*
Free downloadable pdf of guided notes that will help you follow along with the video and use later to review what you learned.

_Linear Equations in Linear Algebra:_

_Matrix Algebra:_

_Determinants_

_Vector Spaces_

_Eigenvalues and Eigenvectors_

_Orthogonality and Least Squares_

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*Timestamps*
00:00 Introduction
00:31 The inverse of a matrix
01:59 Formula for the inverse of a matrix
03:10 Examples of finding the inverse
06:04 Using matrices to solve a linear system of equations

*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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