Consistency of a System of Linear Equations

Linear Algebra: Determine whether the following systems of linear equations are consistent: (a) x -3y +2z + 2w = 1, 2x - 2z = 3, 4x - 6y +2z + 4w = 6; (b) x-3y+2z+2w=1, 2x-2z = 3, 4x - 6y - 2z + 4w = 5.

[@AnkushSharma-zv5hv]

he looks like a strict teacher

[@jaichandrasachan626]

Yaa

[@alexandra_spitsina]

Especially with this thick threatening stick in the arm :)))

[@MathDoctorBob]

Thanks! That's the way things should be. If there are any topics not in the playlists, let me know. I'm happy to add.

[@yaseen_abdelmoneim_mohamed5669]

After 9 years and i'm still watching here ! you should feel very proud of what you have done😍

[@omen07666]

thanks you! straight to the point, I wish my professors were like this

[@MathDoctorBob]

Your welcome! Glad to be of help.

[@EJ-ic6oz]

Damn a bodybuilder and mathematician , perfect combo! Thanks for ur help boss!

[@MathDoctorBob]

Your welcome! It's been a while - I was deep into a jiujitsu phase when I made these.

[@fubarace1027]

Thank you for the clear explanation not couched in the language of mathematics. I'm sure my theorems say what you just said, if I took the time to translate them from math to English =p.

[@randomshortclips8613]

This is perfect, precise and straight to the point! Thank you💙

[@boisteranto9275]

i'm kind of in love with this guy ngl

[@MathDoctorBob]

Right back at you.

[@joinjox]

Waow, you're great. I've been searching for this for a while and 50 sec in to your clip had already answer my questions in a very good way. Thank you.

[@MathDoctorBob]

Your welcome! Glad to be of help.

[@Akshat0102]

Well he looks strict but he teaches quite straightforward and understandable...

[@luisc4671]

You're a great teacher!

[@arnm8886]

Love the brief explanation quick and easy

[@jairoz930]

I see no reduced echelon form for your last matrix, however I do see that you listed it as such.

[@MathDoctorBob]

REF = row echelon form. I use RREF for reduced row echelon form.

[@chemist7908]

One of the few non asian explanations on TH-cam

[@qinisombulawa727]

Easy and quite straight forward. Thakx Bhudda.

[@kerahiajnobaptiste2744]

Thank you very much. Straight to the point and easy to understand

[@andregraca7772]

best help I have gotten all semester

[@mohdahbab6669]

Sir many many thank you for this lecture

[@MathDoctorBob]

Your welcome!

[@aboodazmi780]

thanks a lot, helped me through my homework

[@jaecee69]

In my review sheet it asks " determine whether its inconsistent, consistent and the kind go solution each has " what does it mean? dependent or independent??
and thank you!! your explanation was great!

[@sidxaener5455]

Thanks bob

[@kalaiselvi3237]

You're a lifesaver

[@EOMMunaware]

When trying ot know if its consistent, when do you use Guassaind elimination or guass Jordan?

[@chemist7908]

Gem of a video

[@msjahun]

Thank you so much. Your explanation was very clear.

[@mrsdelincuente]

Wow this video was amazing thanks!

[@Olu2cool4u]

really good explanation. thanks Dr

[@ethan2123]

thanks

[@realgodway5592]

Great video!

[@olegrepyakh6310]

Thank you so much! Brilliant explanation!))

[@silverdeathkiller8498]

thank you

[@yxooo]

thanks dr Bob

[@bigfatjuice]

What about the case that the last row would give something like: 0 0 0 1 0 ?

[@bigfatjuice]

or: 0 0 0 1 4

[@MathDoctorBob]

When consistent, you then need to translate the answer (which is probably another video). These two become 1 x4 = x4 =0 and x4 = 4.

[@HowTo5min-co3ni]

I love your stick men. lol

[@waseemsahib3070]

Sir how we can find linearly independent solutions of the non homogenuous =n AX=B

[@NotLegato]

great explanation.

[@ceezgeez1793]

thanks man!

[@roog2960]

I am here to see forearm of teacher 😅

[@jaichandrasachan626]

This teacher from which country

[@LightYagami-ub2yc]

USA

[@walidzein1]

did he say 2 or 3 variables?

[@harikrishna7983]

Thank u

[@Litolic]

people arnt meant to get up early... or even by noon.

[@marcushill509]

Ex military teacher

[@marcushill509]

Marine

[@marcushill509]

Calling it

[@MathDoctorBob]

Nope. Never served. Just into wresting and all that.