How To Find The Determinant of a 4x4 Matrix

[@TheOrganicChemistryTutor]

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bruh im taking pre calc online and I literally came across this today, but it’s a 3x3 matrix and the HW is due today. I did not expect you to make a tutorial on how to do this. Freaking clutch man!!

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I'm also in pre-calc. The way the book teaches it makes it much more complicated. This is so much easier

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[@adritobiswas1982]

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!!!

[@miz3567]

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

[@ayrthhhn]

:V

[@PenandPaperScience]

That is correct :)

[@abdullahsehgal1614]

cut him some slack , like u wouldn't be here if u knew more then him

[@aarohganjoo1676]

@@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

[@nish3003]

@@abdullahsehgal1614 jeez, calm down dude, it was just a suggestion.

[@chepaulinus2495]

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

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My professor speaks perfect english but I understood nothing when he showed this in the lecture. 40 seconds in with your video and I already get it. Thank you soooooo much.

[@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.

[@marcelukeje3510]

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

[@dermakol8543]

Yeah, it does, adding a multiple of a row doesn't change anything. The other row operations do, but it is still just a scaling by constant you can keep track of.

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Thank god, I found this channel, you are an angel. Thank you so much

[@anwar4227]

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

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Will you elaborate..... Put a video make your own channel that would be nice! #from India🇮🇳

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[@seamusflannery3374]

This is a GREAT way to find determinants

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THANK YOU. Exam in less than 2 hours. Lets goo

[@knkworld6765]

Thankyou so much sir it's a great help for me . Respect and love from India (Kerala)

[@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.

[@physician8683]

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

[@nanananabatman7056]

@@physician8683 hes not using cramer, or else he would replace the values with the result to get the values

[@nanananabatman7056]

with what do you multiply the diagonal ?

[@noahsibahi-jackson8757]

@@physician8683 No he is not, that isn't crammer's rule

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Thank u good sir u helped me prepare for tomorrow's quiz... here's hoping!

[@_ndot]

Explanation on the signs for each operation. Everything should be an addition and the sign comes from multiplying (-1)^(row-index + column-index). So, if you were to use the second row you should have: 2 x ((-1)^(2+1)) x |minor at M2,1| + 5 x ((-1)^(2+2)) x |minor at M2,2| + ... 2 x (-1) x |minor at M2,1| + 5 x (1) x |minor at M2,2| + ... -2 x |minor at M2,1| + 5 x |minor at M2,2| + ... This part gives you the sign for row 2 column 1: ((-1)^(2+1)) = -1. The easiest way to think about it, is to add the indices if its odd is - if its even is +. Row 2 Column 1 => 2 + 1 = 3 => odd - Row 2 Column 2 => 2 + 2 = 4 => even + Row 2 Column 3 => 2 + 3 = 5 => odd - Row 2 Column 4 => 2 + 4 = 6 => even + ...

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Thankyou so much sir so much knowledge learning from u sir

[@CMSLine8]

Love from India. I have fully understood after going through your video. I used to become very uncomfortable when I saw 4×4 order determinants.

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Thank you . this is so helpful

[@snooptech]

Thanks for letting me know the signs alternate

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Excellent sir ji thanku so much for information

[@dossantos3255]

Square brackets are for matrices. For determinant mod is used.

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Very helpful and explained perfectly!

[@happydong8086]

This was very helpful thanks

[@muhamedidrizi6451]

Does it work for 5x5 matrix and higher ordes?

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Dear Sir please make one video on 8 by 8 matrix

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[@e_CoDev]

Doing row operations (Gauss elimination) will be much easier and less time consuming.

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Thank you sir 🙏

[@DeswaraAssan]

i love how we spent 10 minutes learning how grueling 4x4 matrixes and even higher order ones then at the last minute it's the God solution of WolframAlpha LMFAO

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If only my teacher explained it like you ...

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Very nice video Sir ji

[@jungwookrlee]

the determinant of a matrix should be denoted by a straight line (like absolute value) not brackets

[@f10clash15]

The brackets in the general solution. It’s a lot harder to figure a straight line in a 4d plane than 2d, so the general Solution is easier.

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Thank you so much for sharing

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[@ariturbo4094]

Great teaching,,,, what if the the matrices is with row by column with any given data??r1,r2,r3,... and column c1,c2,c3,...

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There has to be an easier way ..

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There is