Mastering Determinants: 2x2, 3x3, and 4x4 Determinants with Cofactor Expansion

Learn how to calculate determinants of matrices of all sizes, from 2x2 and 3x3 to larger n×n matrices (including 4x4 and 5x5). Learn step-by-step how to apply cofactor expansion, the Rule of Sarrus for 3x3 matrices, and techniques for handling larger matrices. We also cover how to find determinants of triangular matrices. Whether you're preparing for an exam or looking to strengthen your understanding of linear algebra, this comprehensive guide will equip you with the knowledge needed to master determinants.

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_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
00:33 Basic Determinant Information
01:09 Determinant of a 2x2 Matrix and Examples
03:24 Determinants of 3x3 Matrices and Examples
07:41 Rule of Sarrus or Shortcut Method
10:09 Cofactor Expansion Formulas
14:56 Cofactor Expansion Examples
21:45 Determinant of Triangular Matrices

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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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