This precalculus video tutorial explains how to determine the inverse of a 2x2 matrix. It provides a simple formula to determine the multiplicative inverse of a matrix. You can check to see if you have the right answer by multiplying the matrix and its inverse to see if you get the multiplicative identity matrix I2. This video contains plenty of examples and practice problems. Introduction to Matrices: https://www.youtube.com/watch?v=yRwQ7A6jVLk Adding and Subtracting Matrices: https://www.youtube.com/watch?v=QXUbFzEd3Ww Scalar Multiplication of Matrices: https://www.youtube.com/watch?v=iJERwUVuwtY Solving Matrix Equations: https://www.youtube.com/watch?v=UHhvcj0doaA Multiplying Matrices: https://www.youtube.com/watch?v=vzt9c7iWPxs __________________________________ Gaussian Elimination & Row Echelon Form: https://www.youtube.com/watch?v=eDb6iugi6Uk Gauss Jordan Elimination: https://www.youtube.com/watch?v=eYSASx8_nyg Gaussian Elimination With 4 Variables: https://www.youtube.com/watch?v=4VAXv6yRULU Inverse of a 2x2 Matrix: https://www.youtube.com/watch?v=aiBgjz5xbyg Inverse of a 3x3 Matrix: https://www.youtube.com/watch?v=Fg7_mv3izR0 __________________________________ Determinant of 2x2 and 3x3 Matrix: https://www.youtube.com/watch?v=3ROzG6n4yMc Determinant of 4x4 Matrix: https://www.youtube.com/watch?v=fWzUwrt1Z0s Cramer's Rule - 2x2 Linear System: https://www.youtube.com/watch?v=vXqlIOX2itM Cramer's Rule - 3x3 Linear System: https://www.youtube.com/watch?v=Ot87qLTODdQ ___________________________________ Final Exams and Video Playlists: https://www.video-tutor.net/ Full-Length Videos and Worksheets: https://www.patreon.com/MathScienceTutor/collections