Today in Mathland, we took a stroll down to Inverse Lane and learned how to find the inverse of a matrix. The key in this lesson is that not every Matrix has an inverse. We call those such Matrices singular. But, here is how you find the inverse.
You set a matrix with just 1's on the main diagonal next to your original matrix. Then you use Gauss Jordan to make your original matrix all ones on the main diagonal, but all the changes you do apply to both soft your matrices. And once your original matrix is solved, your inverse is the second matrix. Here is am example.
This lesson wasn't to challenging. I hope my explanation was helpful, and will be a great guide for anyone who wishes to visit Inverse Lane.
Thanks for the picture and writing what you did on the side of the matrix. It really helps because i get lost sometimes. You explained it well and now i have a better understanding of inverse matrices. This was a great guide and if i need more help in the future i will just come back and look at this again. Thanks again!
ReplyDeleteGreat picture of an example xavius! Thanks for saying the steps too. I also liked how you did many steps at a time, i think that it is also easier that way! Good job on being specific on the way to solve and saying mathematical terms such as as using Gauss Jordan!
ReplyDeleteThis is a very clear picture of what to do! People that are trying this fo the first time should look at this because it would definitely helpt them, as it has helped me.
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