How To Find The Determinant of a 3x3 Matrix

This video explains how to find the determinant of a 3x3 matrix.

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:

[Wafflecasa]

This man has singlehandedly taught most of the classes in a STEM department. ilysm sir

[MsLiteraturegirl]

Simplified it, demystified it AND gave the formula. Brilliant, thank you!

[ggripen]

Thanks, literally took me few minutes to understand the walk-through. I remember when my lecturer tried to teach us this, wasn't as easy to follow.

[devonm]

An easier way to find the determinant of a 3x3 matrix would be to rewrite the matrix in terms of a 3x5 matrix where the two added columns are simply the a and b element repeated. You then take the summation of the product of the 3 primary diagonals from upper left to lower right and subtract the summation of the product of the 3 primary diagonals from upper right to lower left.

Your new matrix would look something like,

a1 b1 c1 a1 b1
a2 b2 c2 a2 b2
a3 b3 c3 a3 b3

And finally the resulting algorithm,

-

Would yield the desired determinant

[feurigerStern]

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[kalpanastha]

Your teaching have made me feel easy in determinant chapter

[JosiahMeck]

You make it simple for us to understand fully.. Thanks and God bless you.. Please do more and send it to YouTube..

[georgesadler]

MR. Organic Chemistry Tutor, thank you for showing students How to Find the Determinant of a 3X3 Matrix. There is whole chapter on Determinants in Linear Algebra.

[purity]

The lecturer taught me this and I wasn't able to follow, , , thank you so much you have assisted me❤❤❤❤

[umahmaruche]

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[jamesbrooks]

Thank you.
I've only watched two videos thus far, and I liked them.
Hopefully it will help me in the future.
-JDB

[Humbleenny]

I really enjoyed this😊
I actually know nothing about Matrixes
But now...i can say
I'm good🎉🎉❤
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[victorkiprotichkurgat]

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[samuelelijah]

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[JamsonLewis]

really helpful and understandable, thank you 🙏

[ajinkyabhatjee]

Good work brio plz make video on limits and differentiation

[jeffin.]

Thank you much i understood this thing now only😅

[Jordan-qidn]

You should make a video about laplace expansion for matrices larger than 3x3

[RadoHudran]

Can you make a tutorial on irrational functions pls?