Algebra - Solving Linear Equations using Determinants 1/3

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In this lecture series I'll show you how to solve for multiple variables simultaneously using the technique called: the Determinant Method.
Problem Text:
x + y = 5
x - y = 7

[@BACON-im6py]

Was clueless looking through hours of my teacher's PowerPoint. This video was very informative and straight to the point. Thanks a lot

[@MichelvanBiezen]

Glad you found our videos! Pass the word!

[@Javi228]

Determinants are very straight simple, no wonder why it’s 1st taught in precalculus, I’m starting high school this year

[@mikemodegrindszn1069]

fantastic, you saved me in my statistics course and linear algebra :)

[@MichelvanBiezen]

Glad you found our videos helpful.

[@andrewthebladethrower8371]

at 57, I am learning some stuff I missed out in high school

[@MichelvanBiezen]

Great you are re-visiting

[@mroliveoil]

wow u explain it better than our teacher

[@FunOrange]

Thanks, I needed the review. This is the only sensible way I know of to solve complex linear systems.

[@MichelvanBiezen]

Glad it helped!

[@jemappellemerci]

My left ear finally understands this now 😁 thanks

[@MichelvanBiezen]

😂😂

[@cajelafredilyna.8549]

You explained very well, now I can finally solve the equations in my module. Thank you❤

[@MichelvanBiezen]

Glad it helped!

[@edwinr294]

i found this very helpful, great work sir

[@MichelvanBiezen]

Glad it helped

[@eagefrost2452]

OMG thank you because of you it help me learned it in just a few minutes

[@kazeemabdullahi297]

thank you for making me know new method of solving it.

[@josuepf3730]

Better explained than my teacher haha, gretings!!!

[@MichelvanBiezen]

Glad you found our videos! 🙂

[@dominikfekiac2666]

Thanks, this video helped me.

[@MichelvanBiezen]

You are welcome.

[@lextermunasque2789]

Thank you so much.

[@beccascott_]

Very helpful:) thank you

[@gizemozcelik5067]

It's perfect! Thanks.

[@MichelvanBiezen]

You're welcome!. Glad you found it helpful 🙂

[@niloykr_official]

Thank you Sir for this Video.❤️
I'm grateful to you...

[@MichelvanBiezen]

Glad you found the videos helpful. 🙂

[@tingting3019]

Thanks

[@dinithamuthukumarana3883]

very helpful and clear explanation thank you sir

[@MichelvanBiezen]

Glad you found our videos. 🙂

[@chitragunasekaran5732]

Thank you sir you are great

[@annego3656]

You saved me

[@Brekstahkid]

Life saver

[@MichelvanBiezen]

Glad it helped!

[@aishakuhle7495]

Thank you sir

[@MichelvanBiezen]

You are welcome.

[@Mr.Sushant34]

Thanks❤

[@MichelvanBiezen]

You are welcome.

[@akasshpatyal9884]

Couldn't you simply find the value of Y with subsituting value of X in any of the 2 equaitons? Why go to the lengthy process of calculating the det ?

[@MichelvanBiezen]

There are at least 7 different methods by which you can solve simultaneous equations. With simple cases like this it is of course easier to use substitution or elimination, but using matrices or determinants have other practical uses, especially when there are more variables and with computer applications.

[@chrisjanson7237]

yes. It's just that when you now go to three equations & three unknowns....uh oh; the determinants are sort of easier.

[@powertube5671]

Very helpful, thanks!

[@MichelvanBiezen]

You're welcome!

[@childrenseducation8705]

Helpful. Thanks

[@MichelvanBiezen]

Glad it was helpful!

[@hamimibnebashar8173]

Keep up the good work ❤

[@MichelvanBiezen]

Thank you. That is the plan. 🙂

[@turuus5215]

Thank you

[@MichelvanBiezen]

You're welcome 🙂

[@turuus5215]

@@MichelvanBiezen By chance, do you know how to calculate eigenvalues and eigen vectors of any given NxN matrices?

[@khalifaal-shehhi8708]

Thanks.

[@nadastem8317]

great 😍

[@MichelvanBiezen]

Glad you liked it. 🙂

[@Eyadsgaming14]

Great 👍🏻👍🏻👍🏻

[@MichelvanBiezen]

Thank you. Glad you liked it. 🙂

[@overdrivegaming432]

its helpfull but theres no audio

[@MichelvanBiezen]

there is audio, but our older videos were recorded in mono (not stereo)

[@simonvandenbroek6384]

can I use this method to find the intersection between 2 vectors?

[@MichelvanBiezen]

Vectors have magnitude and direction, BUT vectors can be moved around (while keeping their magnitude and direction), so we cannot apply the concept of intersecting vectors like we do intersecting lines.

[@dindangt8775]

thank wsigma

[@MichelvanBiezen]

You are welcome.

[@thelearningchannel3014]

👍

[@MichelvanBiezen]

👌

[@adi6516]

proof

[@ankurkumar-vt6ul]

Sir sounds is not available in right side of earphone in ur video. Sir earphone is working well even in the add during ur video.

[@MichelvanBiezen]

Yes, our older videos were filmed in mono sound not stereo.

[@ianludic]

No sound

[@MichelvanBiezen]

Our older videos were recorded in mono sound, so you can only hear it on one side. Try the other ear.

[@austinhester582]

is there any way to do this on TI-84 calculator?

[@alecnagatoshi7738]

thanks for the help gru