MHB Order of Operations for Matrices in Scientific Computing

Click For Summary
In scientific computing, the expression $4A + B$ should be interpreted using standard mathematical order of operations, meaning it is calculated as $(4 * A) + B. This indicates that the scalar multiplication of 4 with matrix A occurs first, followed by the addition of matrix B. There is no implication that the expression should be interpreted as $4(A + B)$. Understanding this order is crucial for accurate matrix computations. Clear communication of these operations helps avoid confusion in matrix calculations.
shamieh
Messages
538
Reaction score
0
When I am dealing with matrices and the question says compute: $4A +B$ (where $A$ and $B$ are some matrices..) should I assume that they are implying I use the normal mathematical order of operations or is it different? For example should I assume they are saying $(4*A) + B$ or $4(A+B)$
 
Mathematics news on Phys.org
$4A+B$ means that 4 and $A$ are to be multiplied, and then $B$ added to the result, as you likely suspected. :D
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

Undergrad How to do algebra on the Kitaev toric code grid?
  • · Replies 18 ·
Replies
18
Views
2K
MHB What are the correcting words for matrices with equal integral entries?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Hermitian operators, matrices and basis
  • · Replies 5 ·
Replies
5
Views
2K
Transformations to both sides of a matrix equation
  • · Replies 25 ·
Replies
25
Views
2K
High School Missing out on intermediate algebraic steps
  • · Replies 23 ·
Replies
23
Views
2K
Undergrad What is the symbol for "not necessarily imply"
  • · Replies 10 ·
Replies
10
Views
5K
MHB Solve Word Problem w/ Matrices: Chapter I
  • · Replies 3 ·
Replies
3
Views
2K
Using matrices to balance chemical equations
  • · Replies 11 ·
Replies
11
Views
2K
Undergrad What is the proper matrix product?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad What is the role of geometry and dimensional operations?
  • · Replies 3 ·
Replies
3
Views
2K