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

This video helps students to understand and know how to determine the definiteness of a matrix. Things are really made simple in this video.

[@ReindolfBoadu]

Please watch this video below
ruclips.net/video/-7Ie_fDLVk4/видео.html
It addresses some challenges with this video and makes it easier to understand the concept.
Thank you

[@abrahamyrn]

Excellent explanation of everything, thanks to 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

[@ScienceBronzewall]

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

[@ReindolfBoadu]

You're welcome 😊

[@colbyk1851]

Great video! Very helpful for me

[@ReindolfBoadu]

Thanks.
I'm glad it was

[@joerakhimov]

Thank you for clear explanation!

[@ReindolfBoadu]

You're welcome

[@divinefire7531]

Thank you. This really helped me

[@ReindolfBoadu]

I'm glad it did

[@jonasasare5775]

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

[@ReindolfBoadu]

Thanks 🤝

[@okyeredarkowilliams845]

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

[@ReindolfBoadu]

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

[@kwabenaowusu9606]

Well explained
Thanks

[@ReindolfBoadu]

You're welcome

[@rosemaryaryee9505]

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

[@ReindolfBoadu]

I'm glad to hear that

[@rosemaryaryee9505]

@@ReindolfBoadu You're welcome

[@vishalacharya5683]

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

[@temamuna7508]

Thanks so much! This is really helpful 😊

[@ReindolfBoadu]

You're welcome Tema

[@chemistmatowusu1335]

Wonderful

[@ReindolfBoadu]

Thank you

[@florenceantwi8050]

thank you. understood each step

[@ReindolfBoadu]

You're welcome 😊
I'm glad you did.

[@sidikhaliltahirijotey1908]

Thank you!

[@ReindolfBoadu]

You're welcome

[@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
ruclips.net/video/-7Ie_fDLVk4/видео.html

[@giftmichaelkhondowe9772]

Thanks man

[@ReindolfBoadu]

You're welcome, Gift.

[@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

[@kwameboadu8955]

Thank you

[@Smoothcurveup52]

Thank you so much

[@ReindolfBoadu]

You're welcome 😊

[@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]

ruclips.net/video/-7Ie_fDLVk4/видео.html
Please watch this video. It addresses all the problems here. It is very helpful.
Thank you

[@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:
ruclips.net/p/PLXMzSrDh6agiRyY2J7lY-UtLvY8ZuAyEG

[@knowit6870]

@@ReindolfBoadu thanks

[@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

[@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

[@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.

[@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