How To Find The Determinant of a 4x4 Matrix

This video explains how to find the determinant of a 4x4 matrix.
Introduction to Matrices: • Intro to Matrices
Adding and Subtracting Matrices:
• Adding and Subtracting...
Scalar Multiplication of Matrices:
• Scalar Multiplication ...
Solving Matrix Equations:
• Solving Matrix Equations
Multiplying Matrices:
• Multiplying Matrices
__________________________________
Gaussian Elimination & Row Echelon Form:
• Gaussian Elimination &...
Gauss Jordan Elimination:
• Gauss Jordan Eliminati...
Gaussian Elimination With 4 Variables:
• Gaussian Elimination W...
Inverse of a 2x2 Matrix:
• Inverse of a 2x2 Matrix
Inverse of a 3x3 Matrix:
• Inverse of a 3x3 Matrix
__________________________________
Determinant of 2x2 and 3x3 Matrix:
• Determinant of 3x3 Mat...
Determinant of 4x4 Matrix:
• How To Find The Determ...
Cramer's Rule - 2x2 Linear System:
• Cramer's Rule - 2x2 Li...
Cramer's Rule - 3x3 Linear System:
• Cramer's Rule - 3x3 Li...
___________________________________
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www.video-tutor.net/
Full-Length Videos and Worksheets:
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[@TheOrganicChemistryTutor]

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Wow ,now I can find the determinant of a 4*4, thanks sir.

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I don't comment generally but I read in Class 7. In my school, Cramer's rule should be in class 9 or something like that. Even I understood your lectures that is 2×2, 3×3 and now this 4×4 one. If you think I am lying, then I swear to God.Amazing! Teach like this!!!

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It may be good practice to draw straight lines for determinant instead of square brackets. 5*[A] means different thing to 5*|A|

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@@abdullahsehgal1614 hey you have a point but proper notation is very important. A matrix and determinant are not the same thing, so it would be incorrect to use square brackets when computing a determinant

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[@dermakol8543]

Recommend a bit of gaussian elimination - if you add third row to first and third row multiplied by 2 to second and fourth, you will get a nice (0, 0, -1, 0) column and you only have to calculate a determinant of one 3x3 matrix.

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It doesn't work that way. It only works for equations

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One recommendation......you can use Sarrus rule for determinants and solve it quickly within 2 minutes

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[@nup_pun]

or you can simply transform it into an upper triangular matrix by performing row-elementary operation and then by multiplying its diagonal elements we get the determinant.

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that's gaussian which is essentially better than cramer's but he's using cramer's rule

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with what do you multiply the diagonal ?

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