• Support PF! Buy your school textbooks, materials and every day products Here!

Show matrix is invertible. THanks

  • Thread starter donny_2011
  • Start date
  • #1

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.
 

Answers and Replies

  • #2
gb7nash
Homework Helper
805
1
What have you tried?
 
  • #3
5
0
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
 
  • #4
33,501
5,190
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.
 

Related Threads on Show matrix is invertible. THanks

  • Last Post
Replies
14
Views
6K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
959
Replies
1
Views
1K
  • Last Post
2
Replies
28
Views
14K
Replies
1
Views
2K
  • Last Post
Replies
1
Views
722
  • Last Post
Replies
5
Views
2K
Top