# Determinant of a 3×3 Matrix

Posted by Professor Cram in Matrix Algebra

## Introduction

The determinant of a square matrix (one with the same number of rows and columns) is a calculated quality used to define other properties of that matrix.

(Don’t worry right now about the vague definition; many math professionals would have a hard time doing a better job.)

Calculating the determinant of a 3×3 (or larger) matrix uses the same technique as the 2×2 matrix — take the sum of the products of the down-diagonals () and then subtract the sum of the products of the up-diagonals (/).

## Determinant of a 3×3 Matrix

Learn how to calculate the determinant of a 3×3 matrix with this Formula Solver Series tutorial. It even explains the process for any square matrix of 4×4 or larger.

## Comments

### 13 Responses to “Determinant of a 3×3 Matrix”

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well, this has really helped me a lot. Thank you very much and hope to get similar answer sometime. Once again thank you

Thankyou so much!!!

This method is alot more convinient as copared to the one our teacher is TRYING to teach us these days!!!

this method is incorrect.

i tried solving a question with this method and it didnt work.

this really helped me, when my teacher went over this i didnt get it.

am a distance leaner, i was strunded but your work has reary helped me alot. thank you very much be blessed.

aoa dear god blesss u . you have give best solution of my problem

thanks alot

good job,but does not work for 4×4!

thanx big help of course…

thnk u i get it itx better than that in our book.

thanks a lot. it helped so much

THANK YOU!!!! Helps so much!!!!

This is great, I missed a day in class and finals are coming up, didn’t know how to even attempt the 3×3 matrix. Thank you very much

this realy worked for me! it is realy simple and clear! Thanks men!