To find the product of two matrices, we need to multiply each element from the first matrix with the corresponding element from the second matrix and sum up the results.
Let's start with the first element of the resulting matrix, which is the product of the first row of matrix A (1 2) with the first column of matrix B (1 3):
1*1 + 2*3 = 1 + 6 = 7
Now, let's move on to the second element of the resulting matrix, which is the product of the first row of matrix A (1 2) with the second column of matrix B (2 4):
1*2 + 2*4 = 2 + 8 = 10
Next, we calculate the third element of the resulting matrix, which is the product of the second row of matrix A (3 4) with the first column of matrix B (1 3):
3*1 + 4*3 = 3 + 12 = 15
Finally, we calculate the fourth element of the resulting matrix, which is the product of the second row of matrix A (3 4) with the second column of matrix B (2 4):
3*2 + 4*4 = 6 + 16 = 22
Therefore, the resulting matrix AB is:
7 10
15 22
11product AB of the two matrices
A= 1 2
3 4
And B= 1 2
3 4
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