Tuesday, April 24, 2018

Advanced Math Solutions - Matrix Multiply, Power Calculator, Matrix Multiplication

In a previous blog post, we talked about one type of multiplication for matrices, scalar multiplication. In this blog post be will talk about the other type of multiplication for matrices, matrix multiplication.

Matrix multiplication is when you multiply matrix A, an n x m matrix, by matrix B, an m x p matrix, to get their product, matrix C, and n x p matrix. This means you can only multiply matrices, where matrix A has the same amount of columns as there are rows in matrix B.

In order to multiply matrices, we will have to calculate the dot product of the rows of the first matrix, matrix A, and the columns of the second matrix, matrix B.

Let’s see what this looks like:


 



In words, what we are seeing is the dot product of the first row of matrix A and the first column of matrix B make an element in the 1st row and 1st column of their product. The dot product of the second row of matrix A and the first column of matrix B make an element in the 2nd row and 1st column. The dot product of the first row of matrix A and the second column of matrix B make an element in the 1st row and 2nd column. And so on . . .

Now, let’s see some examples to help better understand how multiply matrices.

First example (click here):


1. Take the dot product of the rows of matrix A and the columns of matrix B


2. Simplify


Next example (click here):


1. Take the dot product of the rows of matrix A and the columns of matrix B


2. Simplify


Last example (click here):


1. Take the dot product of the rows of matrix A and the columns of matrix B


2. Simplify


Matrix multiplication can be difficult and tricky, when learning it for the first time. The more you practice it, the more it’ll become second nature to you. Check out Symbolab’s Practice for practice problems and quizzes on this topic.

Until next time,

Leah

50 comments:

  1. to get help with this, as well as help to write an essay you can contact our authors who will help you write any homework

    ReplyDelete
  2. very good article. Thanks to the author. It is very important to support and help students. If you need help writing an essay, come to my site- https://papercoach.net/

    ReplyDelete
  3. Education does not only give us knowledge but also brings positive changes in us. What is most important about education is it makes us sincere and diligent. Educated and illiterate person can not be equal. It is very nice that papersowl.com review is providing us something new by sharing article. keep it up.

    ReplyDelete
  4. This makes students like you aware of websites offering low quality All Assignment Help reviews In this way the precious amount you are about to waste on fraudulent
    websites will be saved. You can go through all the websites reviewed at BEST WRITERS REVIEWS keeping in mind that it took us so long to check and analyze the services, advantages and drawbacks of particular sites. We are sure after reading the reviews on our site, every student can make a wise decision regarding choosing a good academic writing website.

    ReplyDelete
  5. What a great post. it was really valuable. thanks a lot hotmail sign up

    ReplyDelete
  6. The best way to always have an upper hand when researching is taking time to look into these kinds of posts. This is a nice one, a page that I can term as professional and reliable. You should keep on sharing, and be sure to check the link we have shared to get to know more about how writing services can be helpful to you - https://www.topessayservices.com/

    ReplyDelete
    Replies
    1. Thank you for sharing your details and experience. I think it very good for me.bloons tower defense 5
      super smash flash 2

      Delete
  7. Thank you for sharing your details and experience.
    Install Samsung Stock Roms

    ReplyDelete
  8. Education does not only give us knowledge but also brings positive changes in us

    Clash of Clans Mod Apk

    ReplyDelete
  9. Education does not only give us knowledge
    Droidwhiz

    ReplyDelete
  10. Thanks for posting this info. I just want to let you know that I just check out your site and I find it very interesting and informative. I can't wait to read lots of your posts.
    MyPaperEdit

    ReplyDelete
  11. Thanks for posting this info. I just want to let you know that I just check out your site and I find it very interesting and informative
    PC-Apps Online

    ReplyDelete
  12. I will always support your website, hopefully more advanced. keep the spirit… thanks https://www.playsubwaysurfersgame.net/tank-trouble-unblocked

    ReplyDelete
  13. Agree matrix multiplication can be difficult and tricky, when learning it for the first time.

    friv - geometry dash Online game

    ReplyDelete
  14. Great post! It was very helpful to me. Now, when I have read information on your site and got my essay topic from essaytopicsgenerator.com , I can finally start writing it. Wish me luck, guys!

    ReplyDelete
  15. This comment has been removed by the author.

    ReplyDelete
  16. That was exactly what I lacked for my essay. Hopefully, the idea I found on essay writing service usa is a good one, and now I can complete my assignment. Thank you so much!

    ReplyDelete
  17. I just found a good topic for my work on essay writing service canada , and the post I read on your site showed me what I want to write about in my paper. Thank you for inspiration!

    ReplyDelete
  18. Great and useful article. Creating content regularly is very tough. Thanks you. Write more with https://statistics.homeworkfor.me/.

    ReplyDelete
  19. Free Essays For Students
    Use these essays as examples to write your paper

    Writing an essay is not a simple task. Even today, when students have an opportunity to find an answer to any issue on the Internet, writing an essay still remains one of the biggest challenges for many. On the web, one can find limitless guides and tips on how to write a paper. However, sometimes it is better to read a good essay sample then spend time on endless tips. https://samples.essaytopicsmasters.com/

    ReplyDelete
  20. But darling, just kiss me slow, your heart is all I own love love love happy wheels basketball legends game

    ReplyDelete
  21. Can’t find a reliable service to order your paper from. Check our essayshark reviews on Scamfighter. Only real reviews based on personal experience and clients’ experience.

    ReplyDelete
  22. Everything you need to get an A for your paper. Free paper grader and editor. Check it now.

    ReplyDelete
  23. Thanks for your article! By the way, found this post https://essaysreasy.online/blog/easy-essay-topics/ yesterday, I think you’ll also appreciate it; there are many super essay topics there.

    ReplyDelete
  24. This piece of information is pretty helpful. I found a similar article about Math Solutions at qualityessay.com. If you want to consider more detailed information, check the website out.

    ReplyDelete
  25. I like viewing web sites which comprehend the price of delivering the excellent useful resource free of charge. I truly adored reading your posting. Thank you so much such a nice work or more updates http://www.freegiveaways.xyz

    ReplyDelete
  26. here you can download free turbo vpn for PC, Laptop (Windows 10 – Mac).

    Turbo VPN for pc

    ReplyDelete
  27. Thanks for sharing this information. I admire those people who can write about formular and staff like this in such an easy style. Here is information about ovarian cancer essay. Hope you will find it useful.

    ReplyDelete