Consider $$A = \begin{bmatrix}&3 & 5 & -2 & 1 &0 \\&1 & -1 &…

Consider $$A = \begin{bmatrix}&3 & 5 & -2 & 1 &0 \\&1 & -1 & 0 & 3 &0 \\&-6 & -10 & 4 & -2 &0 \\&2 & -2 & 0 & 5 & 2\\\end{bmatrix}$$   a) Find the nullspace of A (Nul(A) = span{…}).   b) Find a basis for the column space of A.   c) Is A invertible? Justify your answer using part b).  

Short answer Question (you only need to answer 2 of them) Wh…

Short answer Question (you only need to answer 2 of them) What is the function of the sex pilus? (include F+ and F- cells in your description) (3 pts) Then explain the clinical significance of this function. For example, how does it influence antibiotic resistance? (2 pts).