Linear independence and dependence

  • Thread starter yoyo
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Hi everyone, having problems with this question, can anyone please help

Question: consider a 2 x 2 matrix, can you construct a matrix whose columns are linearly dependent and whose rows are linearly independent?

My answer is no. I cannot think of any combination that would make this true? Or is there? If so why?

Thanks
 

Answers and Replies

289
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No, because having linearly dependent columns gives a singular matrix yet linearly independent rows gives a non-singular matrix.
 
21
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Thanks, make sense.
 
mathwonk
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just do the algebra.
 

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