P_vec = vs.Matv(p_vec_inv, pBase)
T_mat_inv = vs.invMat(T_mat, vBase, wBase)
R_mat_inv = vs.invMat(R_mat, pBase, qBase)
T_null = T.null()
R_null = R.null()
T_rnge = T.rnge()
R_rnge = R.rnge()
svT, eT, fT = T.svd()
svR, eR, fR = R.svd()
mat = np.array([[0, 1], [-1, 0]])
mat_T = vs.invMat(mat, vs.basis('F2'), vs.basis('F2'))
mat_R = vs.invMat(mat, vs.basis('P1'), vs.basis('P1'))
print("Basis (F2): ", vs.basis('F2')) #
print("Basis (P1): ", vs.basis('P1')) #
print("vList: ", vList) #
print("pList: ", pList) #
print("Is vList indep: ", vs.isindep(vList)) #
print("Is pList indep: ", vs.isindep(pList)) #
print("vList made indep: ", vs.mkindep(vList)) #
print("pList made indep: ", vs.mkindep(pList)) #
print("vList made basis (F3): ", vs.mkbasis(vList, 'F3')) #
print("pList made basis (P3): ", vs.mkbasis(pList, 'P3')) #
print("v: ", v) #
print("p: ", p) #
print("v0: ", v0) #
