Cayley-Hamilton Theorem: Power of 2x2 Matrix

[@oluwandaraoyeleke569]

I stayed more for the voice than for the Math. So soothing.

[@MathsWithJay]

Wow!

[@samanpaydar4415]

Excellent explanation and example 😍tnx

[@MathsWithJay]

@Saman Afrooz: Thank you!

[@hrperformance]

That was an excellent explanation, thanks very much!

[@MathsWithJay]

You're very welcome!

[@patrickhallan8877]

This was incredibly helpful. Thank you!

[@MathsWithJay]

You're so welcome!

[@billycheung5114]

Thanks . It’s incredibly useful 🎉

[@MathsWithJay]

You're very welcome!

[@raminmersi]

Great explanation! Thank you very much.

[@MathsWithJay]

You are welcome!

[@georgesadler7830]

Thank you for the video.

[@MathsWithJay]

You are welcome!

[@bhugeswarguwala659]

Teaching method is good👍👍

[@MathsWithJay]

Glad you think so!

[@ayadkindi5467]

amazing work cheeers!

[@MathsWithJay]

@Ayad: Thanks a lot!

[@maryannwekesa7191]

This explanation was really helpful.

[@MathsWithJay]

@Maryann: Thank you for letting us know.

[@nilesharnaiya6127]

Is there any easier shortcut or a method for larger numbers - for a 2x2 matrix like (1,7,7,1) this becomes many steps if I want to find the power matrix let's say a to the power 50. Please advise. Loved the video

[@MathsWithJay]

See th-cam.com/video/eEo7K8jPS9Y/w-d-xo.html

[@asogbaibrahim9618]

Have you been able to solve the question Nilesh?

[@mdbelaluddin8751]

Ma'am please explain Cayley- Hamilton theorem to find A^50 , where A is a any 2×2matrix 🙏🙏

[@MathsWithJay]

For any matrix, you may need to use the fact that 50 = 2 + 16 + 32, and do some repeated squaring of the matrix.

[@mdbelaluddin8751]

@@MathsWithJay Thank you very much Ma'am ❤

[@fridahkaluya3929]

I don't quiet understand how we're getting A I understand the part for A to the power 4 what about A to the power 1 where is it coming from

[@MathsWithJay]

A is given to you initially

[@Rajiv3889]

Good explaination

[@MathsWithJay]

@Aniket: Thank you!

[@dev2946]

How can I find 100 times A ?

[@MathsWithJay]

Multiply each element by 100

[@yonizhamyonismail1972]

Thanks to you

[@MathsWithJay]

You're welcome

[@rejoicebenhura3879]

so simple to understand

[@MathsWithJay]

Thank you!

[@OleJoe]

I solved this using eigenvalue decomposition. Got the same answer.

[@MathsWithJay]

Is this the method you used: th-cam.com/video/eEo7K8jPS9Y/w-d-xo.html

[@OleJoe]

@@MathsWithJay Yes, I did.

[@paulusshihepo758]

Where did eight -8 came from..press you calculator well.

[@MathsWithJay]

At what time in the video?

[@jp_bola]

I liked your way i'm from india

[@MathsWithJay]

Greetings to India from England