how to find rank, index, signature and nature of the quadratic form? Eigen values and Eigen vectors.

[@manikanta5551]

Index means number of positive terms in its conanical form

[@NarenderRavulakollu]

@Aryanthappan nature is indefinite because our equation is not specific or not 🙏defined properly as we seen in our theorem

[@jijumariamthomas4285]

index= no. of positive eigen values

[@NarenderRavulakollu]

Thanks buddy for clearing doubt

[@sakshu6549]

Thank you 😊 for the best 🔥 video 👍

[@nakshatrarathore2943]

how did u write the index= 2? and what is nature of the equation ? can u explain why it is indefinite!?

[@NarenderRavulakollu]

Because at the last you can see the equation which is having degree of 2 that's why index is equals to 2👍🙏

[@NarenderRavulakollu]

The equation which we got is not specified (or) you can say not defined properly so that so that our equation is not defined 👍🙏🙏

[@nakshatrarathore2943]

@@NarenderRavulakollu okay ! now i get it ! thank you sir!

[@deepaksivakumar4061]

Nature of the equation can be decided: If the eigenvalues are positive then the nature is positive definite. If the eigenvalues are negative then the nature is negative definite. If the eigenvalues are positive and negative then the nature is indefinite.

[@diwanroshan143]

Explanation is not correct broo

[@tumurerejeannette7299]

There is mistake in replacing eign value which equal to 1 mr

[@vi5683]

waste of time. very poor explanation.

[@saurabhvidhate4364]

many mistake bro but well explained

[@ashwinpillai9291]

thnx

[@rambostudycentre]

Don't study this, there is so many mistakes in this video

[@sriramvalluri6580]

poor explanation.

[@Tamilan_official_]

🙄

[@Shekarreddi]

Fail😁😁

[@ArunKumar-ps2fr]

So much mistakes, use less

[@rowdymaster6159]

U made mistake in case 1 plz check once

[@NarenderRavulakollu]

Yes sure