Matrix Addition 2A3F74
Let's add two 2 by 2 matrices step by step! π
Imagine you have two groups of toys arranged in squares. Each square has some toys. We will add the toys in the same spots!
**Box 1:**
Group 1:
π§Έ π§Έ
π§Έ π§Έ π§Έ
(2 2)
(3 1)
Add β
**Box 2:**
π§Έ π§Έ
π§Έ π§Έ π§Έ
(2 2)
(3 1)
Group 2:
πͺ πͺ πͺ
πͺ πͺ
(3 1)
(2 4)
=
**Total box:**
πͺ πͺ πͺ
πͺ πͺ
(3 1)
(2 4)
Sum:
π§Έπͺ π§Έπͺ πͺ
π§Έπͺ π§Έπͺ π§Έ πͺ
(5 3)
(5 5)
Step 1: Add top-left: $2 + 3 = 5$
Step 2: Add top-right: $2 + 1 = 3$
Step 3: Add bottom-left: $3 + 2 = 5$
Step 4: Add bottom-right: $1 + 4 = 5$
Great! The answer is $$\begin{bmatrix} 5 & 3 \\ 5 & 5 \end{bmatrix}$$
You did awesome adding matrices! π―π§Έπͺ π§Έπͺ πͺ
π§Έπͺ π§Έπͺ π§Έ πͺ
(5 3)
(5 5)