Matrix Multiplication Math Example 1

Solution

1. 1
   Step 1: Entry $(1,1)$: $1 \cdot 5 + 2 \cdot 7 = 5 + 14 = 19$.
2. 2
   Step 2: Entry $(1,2)$: $1 \cdot 6 + 2 \cdot 8 = 6 + 16 = 22$.
3. 3
   Step 3: Entry $(2,1)$: $3 \cdot 5 + 4 \cdot 7 = 15 + 28 = 43$.
4. 4
   Step 4: Entry $(2,2)$: $3 \cdot 6 + 4 \cdot 8 = 18 + 32 = 50$.
5. 5
   Result: $\begin{bmatrix} 19 & 22 \\ 43 & 50 \end{bmatrix}$