### Instruction: Find $\begin{pmatrix} -5 \\ 1 \\ -4 \end{pmatrix} + \begin{pmatrix} 0 \\ 8 \\ -4 \end{pmatrix}.$.### Response: To add two vectors, I can add their corresponding components.
That means, to find the first component of the sum, I need to add -5 and 0.
That gives me -5 as the first component.
To find the second component of the sum, I need to add 1 and 8.
That gives me 9 as the second component.
To find the third component of the sum, I need to add -4 and -4.
That gives me -8 as the third component.
So the sum of the two vectors is another vector with components -5, 9, and -8.
I can write that as a column vector or a row vector.