Maximizing Efficiency: Utilizing a Pressure Cooker for Cooking

  • Thread starter Thread starter conv
  • Start date Start date
  • Tags Tags
    cooker Pressure
Click For Summary

Homework Help Overview

The discussion revolves around matrix multiplication, specifically the conditions under which the product of two matrices is defined. Participants are exploring the dimensions of matrices and the implications for their multiplication.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are questioning the relationship between the number of columns in the first matrix and the number of rows in the second matrix for multiplication to be possible. There are attempts to clarify the resulting dimensions of the product matrix.

Discussion Status

Some participants express confusion about the material, indicating a lack of understanding regarding matrix transposition and multiplication. Guidance has been offered regarding the transpose of matrices, but there is no explicit consensus on the main question being discussed.

Contextual Notes

Some participants mention difficulties in finding relevant information in their textbooks, suggesting a potential gap in resources or understanding of the topic.

conv
Messages
11
Reaction score
0
No Effort: Member warned that some effort must be shown
Homework Statement
Anyone who understands this?
Relevant Equations
I think it has something to do with multiplying matrix A and B? But I can't figure out.
1596180846689.png
 
Last edited by a moderator:
Physics news on Phys.org
If matrix ##P## has dimensions ##w \times x## and matrix ##Q## has dimensions ##y \times z##, what is the condition for the product ##PQ## to be defined? Think in terms of rows and columns...
 
  • Like
Likes   Reactions: WWGD and member 587159
The new matrix will be 2x3..

But I still can't understand it ://
 
What is the relationship between the number of columns in the matrix on the left and the number of rows in the matrix on the right, when they’re multiplied together?
 
conv said:
The new matrix will be 2x3..

But I still can't understand it ://

Why don't you try to calculate the matrix ##C## in each case? See which ones you can do and which ones you can't.
 
  • Like
Likes   Reactions: WWGD, conv and etotheipi
I can't find out how to do that in my book. Have tried for a long time now.
What does the A^T and B^T represent?
 
If the general entry is described by ##A=(a_{ij} )##, where i is the ith column and j is the jth row, then ##A^{T}:=(a_{ji})## , meaning a flip of rows and columns in the original matrix ( The one with Keanu, I think; ) ).
 
  • Like
Likes   Reactions: berkeman

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 20 ·
Replies
20
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K