# Show that the determinant of this system is different from zero.

FratBro23
Category:
Other
Price: \$5 USD

Question description

Show that a polynomial P_n(x) of degree n that vanishes (i.e., equals 0) at

n + 1 distinct points x_0, x_1, x_2, ..... x_n must be identically zero as follows:

write the equations P_n(x_i) = 0 for i = 0, 1, 2, ....,n as a (n + 1)by(n + 1)

linear system of algebraic equations with a zero right-hand side, and show

that the determinant of this system is dierent from zero.

(Top Tutor) Daniel C.
(997)
School: New York University
Studypool has helped 1,244,100 students

1826 tutors are online

### Related Other questions

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors