Understanding Symmetric Matrix Properties: A Puzzling Example

Click For Summary
SUMMARY

This discussion focuses on the properties of symmetric matrices, specifically addressing a homework problem involving the calculation of the transpose of a matrix A. The user questions the reversal of order in the expression rT = qTA and seeks clarification on the conditions under which the result equals zero. The conversation emphasizes the importance of understanding matrix dimensions and the implications of superscripted T's, indicating matrix transposition.

PREREQUISITES
  • Understanding of symmetric matrices and their properties
  • Familiarity with matrix transposition and notation
  • Basic knowledge of linear algebra concepts
  • Ability to interpret mathematical symbols and equations
NEXT STEPS
  • Study the properties of symmetric matrices in linear algebra
  • Learn about matrix transposition and its implications
  • Explore examples of matrix multiplication and order
  • Investigate the conditions under which matrix products yield zero
USEFUL FOR

Students studying linear algebra, mathematicians interested in matrix theory, and educators looking to enhance their understanding of symmetric matrix properties.

dirk_mec1
Messages
755
Reaction score
13

Homework Statement



http://img266.imageshack.us/img266/152/78148531ur5.png

Homework Equations



A is symmetric.

The Attempt at a Solution



First of all if you calculate rT you'll get qTA so why it the order reversed in the picture above? Moreover I don't see why it is zero.
 
Last edited by a moderator:
Physics news on Phys.org
Can you go into more detail as to what those symbols mean? The superscripted T's clearly indicate that some of them are matrices, but are they all matrices? If so, then are they all square? If not, then how many rows and columns does each have?
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
2K
Replies
1
Views
2K
Replies
2
Views
2K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 23 ·
Replies
23
Views
2K
Replies
2
Views
2K