||'''Book'''|| Advanced Engineering Mathematics ||
 ||'''Author'''|| Erwin Kreyszig ||
 ||'''Edition'''|| 8th Edition ||

/* code_begins */

{{{
x=var('x')
w=var('w')
W=det(matrix([[x**4,x**4*log(x)],[4*x**3,(x**3+4*x**3*log(x))]]))        
show(W.simplify_rational())
#W=0 for x=0, so the basis functions are linearly dependent}}}

/* code_ends */

 * '''Solution by''': 
   * namdev,teaching, RGIT
   * dilip,teaching, RGIT