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Math Help - If the columns/rows of an nXn matrix A are linearly independent, what is the rank(A)?

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    If the columns/rows of an nXn matrix A are linearly independent, what is the rank(A)?

    If the columns of an nXn matrix A are linearly independent as vectors, what is the rank of A?
    If the rows of an nXn matrix A are linearly independent as vectors, what is the rank of A?
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    Re: If the columns/rows of an nXn matrix A are linearly independent, what is the rank

    Quote Originally Posted by thealpz View Post
    If the columns of an nXn matrix A are linearly independent as vectors, what is the rank of A?
    If the rows of an nXn matrix A are linearly independent as vectors, what is the rank of A?
    The Rank of A and A transpose are the same. By defintion, the rank of a matrix is the number of linearly independant column vectors. So it would have Rank n
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