Definiteness of Quadratic Form in Linear Algebra

This video explains definiteness of quadratic form in linear algebra.
It helps us to know whether a quadratic form is positive definite, negative definite, indefinite, semi-positive definite and negative semi-definite

[@salemsalem3968]

The question you solved was part of my vclass assignment bro. God bless😀

[@ReindolfBoadu]

Amen 🙏

[@AmmaraGhafoor76]

Good work dear 👍👍 keep sharing....

[@ReindolfBoadu]

Thank you

[@queenhillaryy]

Your videos are always in sync with our assignments. Very helpful 🔥

[@ReindolfBoadu]

That's good to hear😊

[@divinefire7531]

Great delivery Sir Thanks for all your help

[@ReindolfBoadu]

You're welcome

[@kwameboadu8955]

Great video Thanks Sir

[@Scoomi_gh1]

wow. are amazing. hoping to have more videos on linear algebra

[@ReindolfBoadu]

kzbin.info/aero/PLXMzSrDh6agjTDKDVn5CHt_Z0GVkgYSxL Thanks

[@bancielearningvideos]

Wow. I really understood it

[@ReindolfBoadu]

That's good to hear

[@tjlena]

What if you are not given the values of 'a' and 'c' and you have to decide if its positive definite

[@ReindolfBoadu]

If I got your question right, Then I think one way you can do this is by selecting cases for a,c which will make the quadratic form positive definite. So in this case a* has to be strictly a positive number and c has to be a number such that (ac-b^2) is also positive

[@ReindolfBoadu]

You can read this as well to help you. There is similar question in there. drive.google.com/file/d/1Wa9ITrIqgnAmZzdpZFjPrC5I6zupgK07/view?usp=drivesdk

[@RiyazLimbada]

can you plz make a pdf of ur notes/workings and share it on onedrive or something.

[@OleB160]

How will you decide when dealing with a 3 by 3 matrix

[@ReindolfBoadu]

It follows a similar process please. I would advise you get materials on the Internet to help you with a better understanding

[@Apprehduodu]

Is there a difference between the quadratic definites and the definites of a matrix

[@prashanttimalsina5462]

how to solve a question having three variables

[@krishnapriya.d.p6531]

Wt about the same of order 3*3?

[@karenkamimasumaili137]

Thank you so very much.

[@ReindolfBoadu]

You're welcome Karen

[@Apprehduodu]

Wama meni agyi oo 😂na minti hweee asi

[@NIGUSHAILE-v1d]

how to solve a question having three variables

[@MekuriawGetachew]

how to solve a question having three variables