If anyone could explain how the following is done, it would be greatly appreciated. Give an example of the following. If no example exists, explain why. - A set of vectors in M sub 3,4 which are linearly independent but do not span M sub 3, 4
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Originally Posted by faure72 If anyone could explain how the following is done, it would be greatly appreciated. Give an example of the following. If no example exists, explain why. - A set of vectors in M sub 3,4 which are linearly independent but do not span M sub 3, 4 Assuming that M_{3,4} denotes the set of all 3x4 matrices (over R?) [1,0,0,0] [0,0,0,0] [0,0,0.0] and [0,1,0,0] [1,0,0,0] [0,0,0,0] are linearly independent and do not span M_{3,4} and so are the elements of a set with the desired property. RonL
Last edited by CaptainBlack; May 6th 2007 at 02:44 AM. Reason: to avoid anyone knowing that he made a mistake!
Originally Posted by CaptainBlack Assuming that M_{3,4} denotes the set of all 3x4 matrices (over R?) [1,0,0,0] [0,0,0,0] and [0,1,0,0] [1,0,0,0] are linearly independent and do not span M_{3,4} and so are the elements of a set with the desired property. RonL would not those matrices need a third row? since they have to be elements of M_{3,4}?
Originally Posted by Jhevon would not those matrices need a third row? since they have to be elements of M_{3,4}? Opps.. yes of course (goes back and modifies post so no one will ever know CB made a mistake ) RonL
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