Order of Operations for Matrices in Scientific Computing

In summary, the order of operations for matrices is to first perform any operations within the parentheses, then multiply or divide in order from left to right, and finally add or subtract in order from left to right. This order cannot be changed and must be followed to properly solve a matrix equation or expression. Not following the order may result in incorrect answers and violations of matrix multiplication and addition rules. There are no exceptions to this rule, and it is similar to the order of operations for regular algebraic expressions.
  • #1
shamieh
539
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 $4(A+B)$
 
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  • #2
$4A+B$ means that 4 and $A$ are to be multiplied, and then $B$ added to the result, as you likely suspected. :D
 

FAQ: Order of Operations for Matrices in Scientific Computing

What is the order of operations for matrices?

The order of operations for matrices is to first perform any operations within the parentheses, then multiply or divide in order from left to right, and finally add or subtract in order from left to right.

Can the order of operations for matrices be changed?

No, the order of operations for matrices is a set rule that must be followed in order to properly solve a matrix equation or expression.

What happens if the order of operations for matrices is not followed?

If the order of operations for matrices is not followed, the resulting answer may be incorrect. Additionally, the rules for matrix multiplication and addition may not be followed, resulting in an invalid matrix equation or expression.

Are there any exceptions to the order of operations for matrices?

No, there are no exceptions to the order of operations for matrices. It is a universal rule that must be followed in all cases.

How does the order of operations for matrices compare to that of regular algebraic expressions?

The order of operations for matrices is similar to that of regular algebraic expressions, with the addition of following the rules for matrix multiplication and addition. Both involve performing operations within parentheses first, followed by multiplication or division, and then addition or subtraction.

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