SOLUTION: Determine the inverse of the following matrix A= 1 0 1 0 1 0 2 1 0 2 3 1 2 3 1 -2

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Question 1008315: Determine the inverse of the following matrix

A=
1 0 1 0 1
0 2 1 0 2
3 1 2 3 1
-2 0 1 2 0
3 -2 4 -2 1

I have never solved one this size. Help is greatly appreciated!! Thank you!
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's a 5 by 5
It takes more steps that a 4 by 4, but the method is the same.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This would be a pain to do by hand. If you must do it by hand, then I suggest using row reduction.

This solver

http://www.math.odu.edu/~bogacki/lat/

will help you step by step. Here's what you do

Step 1) Click the link shown above

Step 2) Click "Enter"

Step 3) Click the "Calculating the inverse using row operations" link (it's under "Systems of linear equations and matrices")

Step 4) Select "5" for the drop down menu, then hit "submit" to set up a blank 5x5 matrix

Step 5) Enter your values. One number per box. After each number is in the right spot, hit "submit"

The solver will then give you the final answer. It also shows you the step by step method to go from point A to point Z (and everything in between). You'll have to click the "Show details" button to get all the steps to show up.

Let me know if this helps or not. Also, let me know if you get stuck anywhere. Thanks.



Edit: This tutor has a great example on how to find the inverse of a 4x4 matrix

Link to solution: http://www.algebra.com/algebra/homework/Matrices-and-determiminant/Matrices-and-determiminant.faq.question.801396.html

the tutor follows the same basic steps as the computer solver (at the first link I posted) does.