A square matrix is full rank if and only if its determinant is nonzero.įor a non-square matrix with rows and columns, it will always be the case that either the rows or columns (whichever is larger in number) are linearly dependent. For a square matrix these two concepts are equivalent and we say the matrix is full rank if all rows and columns are linearly independent. ![]() ![]() A matrix is full row rank when each of the rows of the matrix are linearly independent and full column rank when each of the columns of the matrix are linearly independent.
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