Prove that the Product of Invertible Matrices is Invertible and (AB)^(-1) = B^(-1)A^(-1)

Показать описание

Prove that the Product of Invertible Matrices is Invertible and (AB)^(-1) = B^(-1)A^(-1)

If you enjoyed this video please consider liking, sharing, and subscribing.

There are several ways that you can help support my channel:)

************Udemy Courses(Please Use These Links If You Sign Up!)*************
Abstract Algebra Course

Advanced Calculus Course

Calculus 1 Course

Calculus 2 Course

Calculus 3 Course

Calculus Integration Insanity

Differential Equations Course

College Algebra Course

How to Write Proofs with Sets Course

How to Write Proofs with Functions Course

Statistics with StatCrunch Course

Math Graduate Programs, Applying, Advice, Motivation

Daily Devotionals for Motivation with The Math Sorcerer

Thank you:)

Рекомендации по теме

Комментарии

Finally a theoretical proof! Thank you for helping the students to understand the logic and the reasoning behind their unconscious assumptions on theorems by embracing them with no query.

yarenkaya

Math Sorcerer 🙌 nicely done, I'm taking linear algebra this semester, so yeah, thank you.

mathsbsquared

Would it be possible to do a proof if we did not know what (AB)^-1 decomposes into?

icono__

Thank you! it make so much sense now :)

karlie

This is really helpful! I am grateful for your help!

jingyiwang

THANK YOU!!!! This was extremely helpful for me.

mixsmasher

You did not prove or justify that the Product of Invertible Matrices is Invertible.
1.Any matrix A is invertible if and only if it's determinant is not zero.
2.det(A)det(B)=det(AB)
3.(det A≠0 and det B≠0) implies det(AB)≠0 and that makes AB invertible.

piotrkrawczun

sir, I request to you please make the video math book available in indian market .USA book are to much costly I can't buy the book in india . please sir help me.

kalikakumar

Sir, why the order of L.H.S is different from R.H.S
Could you please tell

lovelearning

I thought this was true but my book on linear algebra told me its not true, i am confused

plstzjn

Prove that the Product of Invertible Matrices is Invertible and (AB)^(-1) = B^(-1)A^(-1)

Prove That The Modulos Of The Product Of Complex Numbers Is The Product Of The Moduli

Number Theory - Prove that the product of two even numbers is even | Maths proof in English

Maths Proof - Prove That The Product Of An Even And Odd Number Is Always An Even Number

How to Prove the Product Rule for Logarithms

Prove that the product of four consecutive numbers can never be a perfect square - Maths proof

Prove that the Product of Invertible Matrices is Invertible and (AB)^(-1) = B^(-1)A^(-1)

How to prove that the product of 2 odd numbers is always odd - Melissa Maths

Theorem: Prove that product of rational and irrational number is an irrational number full proof

PROVE EVERY ONE WRONG _BEST MOTIVATIONAL VIDEO

direct proof 2: Prove that the product of perfect squares is a perfect square logic

Prove that every product of Pythagorean triples is a multiple of 60 (ILIEKMATHPHYSICS)

Prove that the Cartesian Product of Sets is Empty if and only if A is Empty or B is Empty

Complex Variables: Prove that conjugate of the product is the product of the conjugates

Prove that the product of two consecutive positive integers is divisible by 2 | Real Numbers

Prove the product of two perpendicular line slopes equals -1-method 1

Real Numbers | Prove that the product of two consecutive positive integers is divisible by 2.

How to prove the sum-to-product identity for sine: sinA+sinB=2sin((A+B)/2)cos((A-B)/2)

Prove that the product of ' r ' consecutive positive integers is divisible by ' r! &a...

Prove Cosine Law With Dot Product of Vectors

How to show or prove that multiplying 2 odd numbers together results in an odd number answer

Prove that the product of three consecutive positive integers is divisible by 6. Real Numbers

How to prove Cartesian Product of Sets

If product of m and n is even integer prove that either one is even

Prove that the product of four consecutive natural numbers is one less than a perfect square.