Multiply matrix A by matrix B. A = [[2, 3], [2, -1]], B = [[2, 5, -4], [3, 2, 6]]

To find the product of matrices $A$ and $B$, we perform matrix multiplication.

Given matrices:

$$A = \begin{bmatrix} 2 & 3 \\ 2 & -1 \end{bmatrix}$$ $$B = \begin{bmatrix} 2 & 5 & -4 \\ 3 & 2 & 6 \end{bmatrix}$$

Step 1: Determine the dimensions of the resulting matrix.
Matrix $A$ has dimensions $2 \times 2$.
Matrix $B$ has dimensions $2 \times 3$.
Since the number of columns in $A$ (2) equals the number of rows in $B$ (2), the product $AB$ is defined and will have dimensions $2 \times 3$.