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A=[ 3 2 0 -1] B=[ 2 8 6 3] What is matrix A + matrix B?

2 Answers

6 votes

For this case we have to, to add matrices, we must add term to term, that is:

Let:


C=\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right] and
D=\left[\begin{array}{cc}e&f\\g&h\\\end{array}\right]


We have to:


C+D=\left[\begin{array}{cc}a+e&b+f\\c+g&d+h\\\end{array}\right]

Then, solving the given exercise we have:


A+B=\left[\begin{array}{cccc}3+2&0+8&0+6&-1+3\\\end{array}\right]

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]

Thus,
A+B=\left[\begin{array}{cccc}5&10&6&2\\\end{array}\right]

Answer:


A+B=\left[\begin{array}{cccc}5&10&6&2\\\end{array}\right]


User Smftr
by
8.0k points
4 votes

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]

User Stewart Lynch
by
7.6k points