Find the sum of the two matrices:

5 2
3 0
+
4 1
6 7
=
a b
c d

9 ... 3

9 ... 7

Step-by-step explanation:

Given

Matrices A and B

Let A ,=

5 2

3 0

And B =

4 1

6 7

Two matrices must have an equal number of rows and columns to be added.

As seen above, the two matrices have 2 rows and 2 columns, so they can be added together

To as these two matrices, we add corresponding rows and columns only.

Take for instance, matric A is represented by

a11 .. a12

a21 .. a22

And

Matric B is represented by

b11 .. b12

b21 .. b22

Their sum can be represented as follows

a11 + b11 .. a12 + b12

a21 + b21 .. a22 + b22.

So, the result of the question, using the above illustration is

a = 5+ 4

b = 2 + 1

c = 3 + 6

d = 0 + 7

So, the matrix becomes

9 ... 3

9 ... 7

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

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