OLS assumption, full rank of matrix X

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One of the OLS assumptions concerning the X-matrix (with a constant) is that the columns $(1, x_{i1}, · · · , x_{iK})$ are not linearly dependent. This looks intuitive to me, because of the dummy-variable trap.

In another text book I found the assumption is $E[x_i \cdot x_i']$ is positive definite and finite and that the rank(X) = K + 1.

Now I understand that X has to be a full rank matrix, because the column rank is equal to its row rank. So that is the same statement as in the first assumption. But how is "$E[x_i \cdot x_i']$ is positive definite and finite" related to that?

Thanks a lot!