To solve the problem of adding the given two arrays, we will carry out the addition element-wise. This means that we will add corresponding elements from each array.
Given arrays:
[tex]\[
\left[\begin{array}{c}
6 \\
5 \\
6 \\
4
\end{array}\right]
\][/tex]
and
[tex]\[
\left[\begin{array}{c}
4 \\
2 \\
-2 \\
-4
\end{array}\right]
\][/tex]
Step-by-step process:
1. First element calculation:
[tex]\[
6 + 4 = 10
\][/tex]
2. Second element calculation:
[tex]\[
5 + 2 = 7
\][/tex]
3. Third element calculation:
[tex]\[
6 + (-2) = 4
\][/tex]
4. Fourth element calculation:
[tex]\[
4 + (-4) = 0
\][/tex]
Combining all these results, the resulting array after addition is:
[tex]\[
\left[\begin{array}{c}
10 \\
7 \\
4 \\
0
\end{array}\right]
\][/tex]
Therefore, the sum of the two given arrays is:
[tex]\[
\left[\begin{array}{c}
10 \\
7 \\
4 \\
0
\end{array}\right]
\][/tex]
