Determinant of 3x3 Matrices, 2x2 Matrix, Precalculus Video Tutorial

This precalculus video tutorial explains how to find the determinant of 3x3 matrices and 2x2 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:

Full-Length Videos and Worksheets:

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[MikeMike-ycgg]

1:54 bookmark - the first thing you want to do is get "rid" of the first row and column and notice what you have "leftover" ( In this case its b2, c2
b3, c3 . ) so a1 is a 2x2 matrix which is b2, c2, b3, c3 .

2:05

using b1 and crossing everything is around it ( since b1 is in the first row and second column we cross out the first row and second column, and are left with a2, c2, c2, c3 2:37

3:23 - after you use the formula to have everything "setup" use the method of a 2x2 matrix (where. * ad-bc )



3:35 first example


6:15 adding all the numbers to get the determinant of out 3x3 matrix in this first example .

6:49 - second example