What must be true in order to add two matrices?
Understand the Problem
The question is asking what conditions must be met for two matrices to be added together. Specifically, it is addressing the requirement that the matrices must have the same dimensions, meaning they must have the same number of rows and columns.
Answer
The dimensions of both matrices must be the same
The dimensions of both matrices must be the same
Answer for screen readers
The dimensions of both matrices must be the same
More Information
For two matrices to be added, their corresponding elements need to align, which is only possible if they have the same number of rows and columns.
Tips
A common mistake is to try and add matrices with different dimensions. Checking the dimensions beforehand avoids this mistake.
Sources
- Matrix Addition - Definition, Rules, Properties and Examples - BYJU'S - byjus.com
- Matrix addition & subtraction (article) | Khan Academy - khanacademy.org
- Matrix Addition: Definition, Properties, Rules, and Examples - geeksforgeeks.org
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