How do i reduce this matrix to echelon form? Thanks
Last edited by mr fantastic; July 3rd 2010 at 05:54 AM. Reason: Copied title into main body of post.
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Originally Posted by adam_leeds How do i reduce this matrix to echelon form? Thanks Do row operations. What have you tried? Where are you stuck?
Originally Posted by mr fantastic Do row operations. What have you tried? Where are you stuck? I thought one of the rows had to start with one and make this the top one, but none of them don't?
Originally Posted by adam_leeds I thought one of the rows had to start with one and make this the top one, but none of them don't? Are you familiar with the three basic row operations? If so, I don't see what the trouble is.
Originally Posted by mr fantastic Are you familiar with the three basic row operations? If so, I don't see what the trouble is. can you divide the top one by 4?
Yes, multiplying (or dividing) each number in a row by a fixed number (not dividing by 0, of course) is a row operation.
Originally Posted by HallsofIvy Yes, multiplying (or dividing) each number in a row by a fixed number (not dividing by 0, of course) is a row operation. ok so its 1 0 1/4 2 3 -3 2 -1 4 0 1 2 becomes 1 0 1/4 0 3 -7/2 0 -1 7/2 0 1 3/2 Is this right? I thought they had to start with 1 to be in echelon form?
Originally Posted by adam_leeds ok so its 1 0 1/4 2 3 -3 2 -1 4 0 1 2 becomes 1 0 1/4 0 3 -7/2 0 -1 7/2 0 1 3/2 Is this right? I thought they had to start with 1 to be in echelon form? Assuming all calculations are correct, it is not quite finished. I suggest you will benefit by going to your class notes or textbook and reviewing this material more thoroughly.
Well, the first row does start with 1. Now, do the same thing, starting with the second row- you can treat it as if it were a 2 by 3 matrix now.
Originally Posted by mr fantastic Assuming all calculations are correct, it is not quite finished. I suggest you will benefit by going to your class notes or textbook and reviewing this material more thoroughly. My notes are rubbish How do i do it, can you tell me please.
Originally Posted by adam_leeds My notes are rubbish How do i do it, can you tell me please. R4 --> R4 + R3 should be obvious. As for your notes, that's a reason why educational institutes build libraries ....
Originally Posted by mr fantastic R4 --> R4 + R3 should be obvious. As for your notes, that's a reason why educational institutes build libraries .... So : 1 0 1/4 0 3 -7/2 0 -1 7/2 0 0 5 Is that complete now?
Originally Posted by adam_leeds So : 1 0 1/4 0 3 -7/2 0 -1 7/2 0 0 5 Is that complete now? No, please think more carefully about the replies you have been given and learn something from them. From what you have been shown so far, it should be clear by now that there is something can be done with row 2 and row 3.
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