How do you add column vectors?

To add column vectors, you combine the corresponding components of each vector. This means that you take the value from the top of the first vector and add it to the value from the top of the second vector, and then take the value from the bottom of the first vector and add it to the value from the bottom of the second vector.

For example, if you have two column vectors:

[

\begin{pmatrix}

a \

b

\end{pmatrix}

]

and

[

\begin{pmatrix}

c \

d

\end{pmatrix}

]

you would compute the sum as follows:

[

\begin{pmatrix}

a + c \

b + d

\end{pmatrix}

]

This clearly aligns with the process outlined in the correct choice, where you add the top components together and the bottom components together. Hence, the answer accurately describes the correct method for adding column vectors, reinforcing the notion of component-wise addition in vector operations.