Equation point from a matrix

  • Thread starter Thread starter Lord Dark
  • Start date Start date
  • Tags Tags
    Matrix Point
Click For Summary

Homework Help Overview

The original poster presents a problem involving the evaluation of a polynomial function P(x) at a matrix A, seeking clarification on the appropriate approach to take.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster questions whether to compute the determinant of A or if there is a different method to evaluate P(A). Some participants suggest directly substituting the matrix A into the polynomial, while others highlight the need to use the identity matrix I in place of the scalar 1 in the polynomial expression.

Discussion Status

The discussion is active, with participants providing insights and suggestions regarding the evaluation of the polynomial at a matrix. There is acknowledgment of the potential confusion surrounding the substitution of matrices into polynomial expressions.

Contextual Notes

The original poster expresses uncertainty about the problem and seeks guidance, indicating a learning process in understanding how to handle polynomials with matrix inputs.

Lord Dark
Messages
120
Reaction score
0

Homework Statement


Good evening everyone,, I have the following problem:
attachment.php?attachmentid=24867&stc=1&d=1270403123.png



The Attempt at a Solution



disregarding the digit ,, he's giving me P(x) and want P(A) but A is a matrix ,, should I get the determinant of A then apply it in the equation ?? or it has some idea I need to know ??
 

Attachments

  • Q.png
    Q.png
    7.8 KB · Views: 383
Physics news on Phys.org
You know how to multiply matrices

You know how to add matrices

I dare say maybe you can just plug in A directly and get an answer. This is pretty common, giving a polynomial where you think the input is supposed to be a number, but then you plug in matrices instead to see what you get
 
And since P(A) involves matrices, not numbers, be sure to use I in place of 1 in your formula for P(A).
 
aha, got it ... Really it's very easy ,, I feel stupid :shy:

Thanks very much guys
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
Replies
8
Views
3K
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 17 ·
Replies
17
Views
2K
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 14 ·
Replies
14
Views
2K