Component-wise operations
Given two vectors, there are several component-wise operations we can perform. These operations will operate on each component of the vector and yield a new vector.
You can add two vectors component wise. Given two n-dimensional vectors 
and 
, addition is defined as follows:
You can also subtract two vectors component wise. Given two n-dimensional vectors and , subtraction is defined as follows:
Multiplying two vectors can also ...
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