Gaussian Elimination With 4 Variables Using Elementary Row Operations With Matrices

This precalculus video tutorial provides a basic introduction into the gaussian elimination with 4 variables using elementary row operations with 4x4 matrices. You need to convert the system of linear equations into an augmented matrix and write it row echelon form using matrix row operations. You can solve the system using back substitution.

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:

Full-Length Videos and Worksheets:

[dadbidad]

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[greenbeans]

I spent a full hour trying to solve one of these and was on the verge of losing my mind because my professor wanted me to get my diagonal ones by multiplying the rows by the inverse (fractions make everything so much harder). I was about to skip both problems because I was having no luck, but then stumbled upon your video and got both of them right! Thank you so much!

[miriamputter]

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[rayreyes]

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[TheSomeone]

gosh i was going all the way to reduced row echelon form... but i'm glad to see i'm not the only one who takes 20 minutes (usually more) to solve these things

[Lightningstormbreaker]

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[skrotauto]

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[georgesadler]

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[anuoluwapoakinola]

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[toxin_d]

This makes sense to me in the sense that the matrix operations are like adding the equations and eliminating variables...

[droomahbroo]

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[Connor-Gilbert]

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[lydiasentsho]

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