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February 23rd, 2009, 07:41 AM  #1 
Newbie Joined: Feb 2009 Posts: 2 Thanks: 0  Linear Alegebra of Equation Systems Minor Explanation Wanted
So, I'm going through the book "Linear Algebra Demystified" to start my reentering in the world of mathematics. I have no previous experience in working with matrices but the first few pages seemed to explain the basics with pretty decent comprehension. Thanks for reading this far, now comes the parts I don't yet comprehend fully. Code: M = [ 2 1 5 1 33 6 17 4 8 ] Exchange two rows. Replace a row with the scalar multiple of itself, as long as it's nonzero. Replace one row by adding the scalar multipe of another row. Now this last one I have quite a tough time figuring out. How can I do this when the matrix does not show results in the form of Code: 2 1 5  3*or something else Code: 2*M2 + M1 > M1 M = [ 4 62 17 1 33 6 17 4 8 ] Code: M = [ 4 62 17  2*(ans) 1 33 6 17 4 8 ] Example Code: 7 ?2 3 A = 0 1 4 ?2 3 5 The elementary matrix that corresponds to 2R2 > R2 is given by 1 0 0 E1 = 0 2 0 0 0 1 E1A = [ 1 0 0 ][ 7 2 3] [ 0 2 0 ][ 0 1 4] [ 0 0 1 ][2 3 5] Code: (0)(7) + (0)(0) + (0)(2) (0)(7)+(2)(1)+(0)(2) etc and how does it actually work? Some help would be greatly appreciated, and I'm sorry if I'm using the code tags in the wrong way. vincenti 
February 23rd, 2009, 07:15 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 19,168 Thanks: 1640 
What you've written has too many typos. If you quote a specific part of the book exactly, I can explain it.


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