easy code for those 3 exercise with python

S=111121,211456,311152,421132,520351 - Confirm that the set of vectors shown below forms a basis for R4 B=b1=1023,b2=4203,b3=0432,b4=3521 - Witte each vector e1 of the standard basis of R4, as a linear combination of the vectors above. 3. Find a polynomial of degree 5 that goes through the points (2,5),(0,7)(1,2),(2,1),(4,4),(6,10) Plot a graph of the points and your polynomial. S=111121,211456,311152,421132,520351 - Confirm that the set of vectors shown below forms a basis for R4 B=b1=1023,b2=4203,b3=0432,b4=3521 - Witte each vector e1 of the standard basis of R4, as a linear combination of the vectors above. 3. Find a polynomial of degree 5 that goes through the points (2,5),(0,7)(1,2),(2,1),(4,4),(6,10) Plot a graph of the points and your polynomial