A=[ 3 2 0 -1] B=[ 2 8 6 3] What is matrix A + matrix B?
2 answers:
For this case we have to, to add matrices, we must add term to term, that is:
Let:
and ![D=\left[\begin{array}{cc}e&f\\g&h\\\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7De%26f%5C%5Cg%26h%5C%5C%5Cend%7Barray%7D%5Cright%5D)
We have to:
![C+D=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\\\end{array}\right]](https://tex.z-dn.net/?f=C%2BD%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da%2Be%26b%2Bf%5C%5Cc%2Bg%26d%2Bh%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Then, solving the given exercise we have:
![A+B=\left[\begin{array}{cccc}3+2&0+8&0+6&-1+3\\\end{array}\right]](https://tex.z-dn.net/?f=A%2BB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D3%2B2%260%2B8%260%2B6%26-1%2B3%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Taking into account that different signs are retsn and the sign of the major is placed, we have:
![A+B=\left[\begin{array}{cccc}5&10&6&2\\\end{array}\right]](https://tex.z-dn.net/?f=A%2BB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%2610%266%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Thus, ![A+B=\left[\begin{array}{cccc}5&10&6&2\\\end{array}\right]](https://tex.z-dn.net/?f=A%2BB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%2610%266%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
![A+B=\left[\begin{array}{cccc}5&10&6&2\\\end{array}\right]](https://tex.z-dn.net/?f=A%2BB%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D5%2610%266%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Add corresponding terms.
A + B = [3, 2, 0, -1] + [2, 8, 6, 3] = [3+2, 2+8, 0+6, -1+3]
... = [5, 10, 6, 2]
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