Answer :
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]
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]
