Consider the matrix A=(123246123)A = \begin{pmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 1 & 2 & 3 \end{pmatrix}A=121242363. Which statement is true?
det(A)=0\det(A) = 0det(A)=0 and AAA is singular (not invertible)
det(A)>0\det(A) > 0det(A)>0 and AAA is invertible
det(A)=1\det(A) = 1det(A)=1 and rows are linearly independent
det(A)<0\det(A) < 0det(A)<0 and columns span R3\mathbb{R}^3R3