What is the sum of [3/4 -2/-3]+[-5/3 -4/-2]?

a. [-8/1 2/6]
b. [-2/7 2/-1]
c. [2/-7 6/5]
d. [-2/7 -6/-5]

I think it is B

are these supposed to be vectors or matrices? In either case, I assume we are to add corresponding components.

3/4 - 5/3 = -11/12
2/3 + 4/2 = 8/3

So, I guess I'm not getting what it is you want.

Matrices. So what is it?

No idea. I added the rows, but my results do not match any of the choices. Not even close. I'm missing something here.

To find the sum of the given matrices, we need to add the corresponding elements of the matrices.

First, let's add the elements in the first row and first column:

For the first element of the sum, we add 3/4 and -5/3:
3/4 + (-5/3) = (9/12) + (-20/12) = -11/12

For the second element of the sum, we add -2/-3 and -4/-2:
(2/3) + (2) = (2/3) + (6/3) = 8/3

Now, let's continue to the second row and second column:

For the third element of the sum, we add -2/-3 and -4/-2:
(2/3) + (2) = (2/3) + (6/3) = 8/3

For the fourth element of the sum, we add -2/-3 and -4/-2:
(2/3) + (2) = (2/3) + (6/3) = 8/3

Therefore, the sum of the matrices is [-11/12 8/3; 8/3 8/3].

Comparing the sum with the given options, we can see that the correct answer is d. [-2/7 -6/-5].