Inverse of a 3x3 Matrix

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This precalculus video tutorial explains how to find the inverse of a 3x3 matrix. You need to write an augmented matrix containing the original matrix and the multiplicative identity matrix. You need to convert the original matrix into the multiplicative identity matrix using elementary row operations. The multiplicative identity matrix will change into the inverse of the original matrix as long as you apply the same elementary row operations to it.

Full-Length Math & Science Videos:


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Introduction to Matrices:


Adding and Subtracting Matrices:


Scalar Multiplication of Matrices:


Solving Matrix Equations:


Multiplying Matrices:


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Gaussian Elimination & Row Echelon Form:


Gauss Jordan Elimination:


Gaussian Elimination With 4 Variables:


Inverse of a 2x2 Matrix:


Inverse of a 3x3 Matrix:


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Determinant of 2x2 and 3x3 Matrix:


Determinant of 4x4 Matrix:


Cramer's Rule - 2x2 Linear System:


Cramer's Rule - 3x3 Linear System:


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Final Exams and Video Playlists:

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