I have the following matrix: $A = \begin{bmatrix} 1 &-1 & 2 \\ 2 & 1 & 0 \\ 3 & 0 & 2 \end{bmatrix}$
I clearly see that the third row is the sum of the first two rows, hence a linear combination of the two; I so know that the rank of the matrix is 2. If I look at the columns I know that one must be the linear combination of the other two, by doing calculations I know it is the third column. However, I would like to know if there's a quicker way to spot the LD column without having to do calculations?
Thank you in advance, this would be really time efficient for my exam.