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June 28th, 2017, 10:08 AM  #1 
Newbie Joined: Jun 2017 From: Wisconsin Posts: 15 Thanks: 0  Help with finding the Least Common Multiple(I think)
I'm working on some algebra, the GaussJordan method by solving the systems of equations. In my matrix I have 4 in the first row second colum and 26 in the second row second column. The example wants to change 4 to 0 which I understand but I'm not sure how they go about it with the math. The example indicates: 2R2 + 13R1 > R1 How did they know to multiply 4 by 13 and 26 by 2? 
June 28th, 2017, 10:12 AM  #2 
Senior Member Joined: Feb 2010 Posts: 679 Thanks: 127 
Post the entire problem.

June 28th, 2017, 10:22 AM  #3 
Newbie Joined: Jun 2017 From: Long Beach Posts: 20 Thanks: 0 
you're looking for LCM of 4 and 26. to find the the smallest number (not zero) that is a multiple of both 4 and 26, you should write each number in terms of a product of prime numbers: 4=2*2=2^2 26=2*13 then LCM is the product of multiplying the highest power of each prime number together LCM(4,26)=LCM(2^2*13^0, 2^1*13^1)=2^2*13^1= 52 which means you have to multiply 4 by 13 and 26 by 2.. 
June 28th, 2017, 10:23 AM  #4 
Newbie Joined: Jun 2017 From: Wisconsin Posts: 15 Thanks: 0 
Use the Gauss Jordan method to transform the matrix: 3 4 = 1 5 2 = 19 
June 28th, 2017, 12:15 PM  #5 
Newbie Joined: Jun 2017 From: Wisconsin Posts: 15 Thanks: 0 
Thank you!


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