Show matrix is invertible. THanks

[donny_2011]

Homework Statement

Show matrix is invertible. THanks

The matrix A is dened by
1 x1^2 x1^3 x1^4 ......x1^n-1
1 x2^2 x2^3 x2^4 ......x2^n-1
......
......
1 xn^2 xn^3 xn^4 ......xn^n-1

where x1; x2,...... xn are distinct real numbers.

Homework Equations

The Attempt at a Solution

Homework Statement

Homework Equations

Show that A is invertible.

The Attempt at a Solution

Show that A is invertible.

 

[gb7nash]

What have you tried?

 

[panqihg]

No,invertible matrix should be a n×n matrix,you must have lost a row(x1,x2,x3,…xn)T,then it's a van de Monde matrix

 

[Mark44]

No,invertible matrix should be a n×n matrix,you must have lost a row(x1,x2,x3,…xn)T,then it's a van de Monde matrix

The matrix is n x n. There are n rows, each with n columns.