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Math Help - Rank of a matrix

  1. #1
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    Rank of a matrix

    Going through a textbook and I come across the term 'rank' of a matrix.

    I haven't come across this term before, am I right in thinking that the rank of an augmented matrix (that has been reduced) is the number of non-zero rows. And if the rank of a matrix < the number of unknowns => infinite number of solutions.

    Sorry if it seems like a basic question, just don't want to go any further with wrong ideas
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  2. #2
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    Re: Rank of a matrix

    You are close to correct. If the rank of a matrix is less than the number of unknowns it implies either an infinite number of solutions or zero solutions.
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  3. #3
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    Re: Rank of a matrix

    Great, thank you for replying.
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