Question

Find the sum of the two matrices:

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

Answer 1

[[5,2],[[4,1],

[3,0]]+[6,7]]

=

[[9,3],

[9,7]]

Explanation:

you add 5+4,2+1,6+3,7+0

Answer 2

9 ... 3

9 ... 7

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