Compute the Wronskian of a set of functions

{y1,y2}={xlnx,x2lnx}\displaystyle {\left\lbrace{y}_{{1}},{y}_{{2}}\right\rbrace}={\left\lbrace{x}{\ln}{\left|{x}\right|},{x}^{{2}}{\ln}{\left|{x}\right|}\right\rbrace}

W(x)=\displaystyle {W}{\left({x}\right)}=