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On problem 2, I noticed that in matrix form, both i and ii had one column that had a common multiple (1 for the 3rd column of i and 3 for the 3rd column of ii).  Is that a quick way to see that they are not independent or does that not always hold true. I can quickly see that i has a det of 0 and calculated ii to get the same - I was just wondering if there's a quicker way?  Thanks, [[User:Tlouvar|Tlouvar]]
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On problem 2, I noticed that in matrix form, both i and ii had one column that had a common multiple (1 for the 3rd column of i and 3 for the 3rd column of ii).  Is that a quick way to see that they are not independent or does that not always hold true? I can quickly see that i has a det of 0 and calculated ii to get the same - I was just wondering if there's a quicker way?  Thanks, [[User:Tlouvar|Tlouvar]]
  
 
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Revision as of 06:33, 9 December 2013

Discussion area for final exam practice problems


This is the place.


On problem 2, I noticed that in matrix form, both i and ii had one column that had a common multiple (1 for the 3rd column of i and 3 for the 3rd column of ii). Is that a quick way to see that they are not independent or does that not always hold true? I can quickly see that i has a det of 0 and calculated ii to get the same - I was just wondering if there's a quicker way? Thanks, Tlouvar


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Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett