A-Level Further Maths: C6-11 Inverse Matrices: Gauss-Jordan Elimination

[@jamminermit]

Really cool that you made a video on this method, thanks!

[@jakealcock5905]

definitely going to stick to the other method, thank you very much though, makes me aware of another method if I need it. But the fact alone that the last video doing the same matrix was 9:09 minutes and this video is 13:42 minutes, I believe says something.

[@beverlyfrancis8433]

I dont like dealing with fractions for this type of elimination at all. I think I will use fractions Only if it will cancel out right away.

[@jaywanthgollakarum1566]

can you still do this if you have an unknown in the matrix

[@sheldonwu1285]

This method is so smart.

[@ianchavarria.8737]

Is there a reason for breaking the main diagonal pattern?

[@TLMaths]

What do you mean by breaking the main diagonal pattern?

[@ianchavarria.8737]

There's a pattern it's followed to get the main diagonal to be 1's right? You know converting cell 1, 1 to one and then converting the values below to 0's and then cell 2, 2 to 1 and the value above and bellow convert it to 0's and the las value in cell 3, 3 convert it to 1 and the values above convert it to 0's. However, I've encountered myself with 2 problems that forces me to not break the pattern.

[@ianchavarria.8737]

Ohh by the way it's a system of linear equations with 3 unknowns.

[@ianchavarria.8737]

I can send you the problem if you will

[@TLMaths]

Type it out here if you like - happy to take a look. Is the determinant of the matrix of coefficients zero?

[@nosir1479]

Can you not do column operations?

[@TLMaths]

No, only row operations

[@jombo3247]

@@TLMaths is there a reason for this?

[@vjamie2280]

Does this work for 2x2?

[@TLMaths]

Yep