Determinant of a 3×3 Matrix

Posted by Professor Cram in Matrix Algebra


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.

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

  1. Kwamina Manful says:

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

  2. Shangraf Binte Sami says:

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

  3. Arjun Thapar says:

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

  4. TIM says:

    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.

  6. muhammad shafiq says:

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

  7. Karthik says:

    good job,but does not work for 4×4!

  8. kate says:

    thanx :) big help of course…

  9. Raffay ur Rehman says:

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

  10. amemiya says:

    thanks a lot. it helped so much

  11. alex says:

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

  12. phill says:

    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

  13. francisogero says:

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

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