C1W1 singularity and independence

I am trying to connect the concepts of singularity and independence. A matrix with linearly independent rows or columns is always non-singular. Conversely, whenever the rows or columns are linearly dependent, the matrix is singular.

Am I correct in saying that singular = dependent and non-singular = independent always?

Yes should be right, it also has to do with the determinant of a Matrix, if its zero than it is singular and this is always the case if you have linearly dependent rows, by the virtue of determinant calculation!

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