Definiteness Of a Matrix (Positive Definite, Negative Definite, Indefinite etc.)

[@ReindolfBoadu]

Please watch this video below kzbin.info/www/bejne/Y2islpKcebGJoZY It addresses some challenges with this video and makes it easier to understand the concept. Thank you

[@ReindolfBoadu]

Please check the rows and columns deletion when it gets to the solving of examples. There was some conflicts there. The definition of the leading principal minor as explained in the video will help you get this better. Thank you and I am very sorry for any inconvenience caused.

[@oluwabukolaajokeade2252]

Okay,please correct it immediately before others make the same mistake

[@Matiowos2012]

I think it should be deleting the last rows and columns instead of first.

[@ReindolfBoadu]

@@Matiowos2012 Yes please

[@abrahamyrn]

Excellent explanation of everything, thanks to you🙏🏾

[@okyeredarkowilliams845]

You made it simple to understand. Thank You. I just susbcribed

[@ReindolfBoadu]

I'm glad to hear that, Williams. All the best.

[@jonasasare5775]

This one of our own a pure Ghanaian accent 😍 we're here to support you bro ✊

[@ReindolfBoadu]

Thanks 🤝

[@kwabenaowusu9606]

Well explained Thanks

[@ReindolfBoadu]

You're welcome

[@divinefire7531]

Thank you. This really helped me

[@ReindolfBoadu]

I'm glad it did

[@rosemaryaryee9505]

Thanks so much for this video Sir. It was really helpful

[@ReindolfBoadu]

I'm glad to hear that

[@rosemaryaryee9505]

@@ReindolfBoadu You're welcome

[@colbyk1851]

Great video! Very helpful for me

[@ReindolfBoadu]

Thanks. I'm glad it was

[@ScienceBronzewall]

Thank you so much brotherly for going straight to the point. I appreciate you.

[@ReindolfBoadu]

You're welcome 😊

[@joerakhimov]

Thank you for clear explanation!

[@ReindolfBoadu]

You're welcome

[@florenceantwi8050]

thank you. understood each step

[@ReindolfBoadu]

You're welcome 😊 I'm glad you did.

[@madinahasanzade3191]

Hello, if I have for example det(A1)= -1, det(A2)= 5 and det(A3)= 21, it is for which one?

[@ReindolfBoadu]

Indefinite please

[@madinahasanzade3191]

@@ReindolfBoadu thank u so much ☺️

[@ReindolfBoadu]

My pleasure

[@chemistmatowusu1335]

Wonderful

[@ReindolfBoadu]

Thank you

[@temamuna7508]

Thanks so much! This is really helpful 😊

[@ReindolfBoadu]

You're welcome Tema

[@Pollymandelli]

Thank you! What if the determinants are all zero? A1 = A2 = A3 = 0 Is it indefinite then?

[@ReindolfBoadu]

We can use the fact that if a matrix is neither semi-positive definite nor semi-negative definite, then it is indefinite to conclude "yes". But it is rare to find a symmeyric matrix like that Thank you

[@vishalacharya5683]

Hi can you plz tell whether the definiteness of the dispersion matrix of a multinomial distribution.

[@philomenaantwi4892]

Wow. Thank you

[@ReindolfBoadu]

You're welcome Philomena

[@Matiowos2012]

HI, Thanks for explaination! but i have some problems to ask in the video 10.10 minutes, you said 6 was odd number. but 6 is an even number therefore it should be a negative definite. Dont you think?

[@ReindolfBoadu]

kzbin.info/www/bejne/Y2islpKcebGJoZY Please watch this video. It addresses all the problems here. It is very helpful. Thank you

[@IamBrill]

Please with the indefinte aspect, would you classify the Matrix in the example you gave as Positive indefinite or negative indefinite and how would you go about that

[@ReindolfBoadu]

Hello Prince, please watch this second video on the definiteness of a matrix, it will help answer all the questions you have. Thank you kzbin.info/www/bejne/Y2islpKcebGJoZY

[@rajasnishandar9633]

Thank you...!! What if one determinant is zero; one is positive and one is negative...?? like A1 > 0 ;A2 = 0; A3 < 0 Which type of definite matrix will it be...??

[@ReindolfBoadu]

Indefinite please

[@sidikhaliltahirijotey1908]

Thank you!

[@ReindolfBoadu]

You're welcome

[@knowit6870]

Good morning, in fact your videos are the best. Do you have some on Abstract Algebra or Real Analysis

[@ReindolfBoadu]

Awwn Thanks Ohene. But unfortunately, I don't have videos on Abstract Algebra. And these are a few on Real Analysis II (Taylor series and McLaurin series) Real Analysis: kzbin.info/aero/PLXMzSrDh6agiRyY2J7lY-UtLvY8ZuAyEG

[@knowit6870]

@@ReindolfBoadu thanks

[@AndresPuelloC]

the text says "...deleting the LAST n - k rows and columns" but you delete the FIRST n-k rows and columns

[@ReindolfBoadu]

Thanks for the notification, guess they were just conflicting. Will rectify that please

[@AndresPuelloC]

@@ReindolfBoadu Thanks a lot for the video, though! It was of great help!

[@ReindolfBoadu]

You're welcome And I'm glad it helped you. All the best!

[@vishalacharya5683]

@@ReindolfBoadu ok so we should del the last n-k rows and columns.

[@giftmichaelkhondowe9772]

Thanks man

[@ReindolfBoadu]

You're welcome, Gift.

[@Smoothcurveup52]

Thank you so much

[@ReindolfBoadu]

You're welcome 😊

[@kwameboadu8955]

Thank you

[@rexmondhammond5906]

You are supposed to delete the last rows and columns and not the first ones please

[@oluwabukolaajokeade2252]

You approach is wrong.You cancelled the wrong row and column

[@ReindolfBoadu]

Wahab, thanks for your comment. Notice that recently and will write a comment to address that. Thanks once again