Matrix multiplication, specifically elimination matrices.

Click For Summary
SUMMARY

The discussion centers on the application of elimination matrices in matrix multiplication, specifically the rule E2(E1A1)=(E2E1)A1. A participant identified an error in the calculation of the top-right element of the resulting matrix, which should be 4 - 2 + 2. This highlights the importance of careful arithmetic when applying matrix operations.

PREREQUISITES
  • Understanding of elimination matrices
  • Familiarity with matrix multiplication rules
  • Basic arithmetic operations
  • Knowledge of matrix notation
NEXT STEPS
  • Study the properties of elimination matrices
  • Practice matrix multiplication with different elimination matrices
  • Explore common mistakes in matrix operations
  • Learn about advanced matrix operations and their applications
USEFUL FOR

Students in linear algebra, educators teaching matrix theory, and anyone involved in mathematical computations requiring matrix manipulation.

AJBMuir
Messages
7
Reaction score
0
I was wondering if anybody can see where I have gone wrong here?
I was given the rule, E2(E1A1)=(E2E1)A1, I can't seem to find my mistake.
ImageUploadedByPhysics Forums1375728851.535927.jpg
 
Physics news on Phys.org
Hi AJBMuir! :smile:
AJBMuir said:
I was wondering if anybody can see where I have gone wrong here?
I was given the rule, E2(E1A1)=(E2E1)A1, I can't seem to find my mistake.View attachment 60702

Your (E2E1)A is wrong …

eg the top-right should be 4 -2 + 2 :wink:
 
tiny-tim said:
Hi AJBMuir! :smile:Your (E2E1)A is wrong …

eg the top-right should be 4 -2 + 2 :wink:

Cheers, I have no idea how I missed that!
 

Similar threads

Undergrad What is the proper matrix product?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad In 4x4 matrix when does row swapping not affect eigenvaluess?
  • · Replies 6 ·
Replies
6
Views
4K
Undergrad Matrix rank in terms of determinant polynomial
  • · Replies 14 ·
Replies
14
Views
4K
Undergrad The Multiplication Table is a Hermitian Matrix
  • · Replies 15 ·
Replies
15
Views
2K
Undergrad How can I convince myself that I can find the inverse of this matrix?
  • · Replies 34 ·
2
Replies
34
Views
3K
Undergrad Index notation of vector rotation
  • · Replies 7 ·
Replies
7
Views
3K
Undergrad Spectral theorem for Hermitian matrices-- special cases
  • · Replies 2 ·
Replies
2
Views
3K
High School What unique contributions to math did linear algebra make?
  • · Replies 19 ·
Replies
19
Views
4K
Undergrad Getting eigenvalues of an arbitrary matrix with programming
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Applying change of basis to vector b_1 doesn't give b'_1?
  • · Replies 8 ·
Replies
8
Views
3K