1. The problem is to multiply the matrix $\begin{bmatrix}a & b \\ c & d\end{bmatrix}$ by the scalar 2580. 2. The formula for scalar multiplication of a matrix is to multiply each element of the matrix by the scalar: $$\text{Scalar} \times \begin{bmatrix}a & b \\ c & d\end{bmatrix} = \begin{bmatrix} \text{Scalar} \times a & \text{Scalar} \times b \\ \text{Scalar} \times c & \text{Scalar} \times d \end{bmatrix}$$ 3. Applying this to our problem: $$2580 \times \begin{bmatrix}a & b \\ c & d\end{bmatrix} = \begin{bmatrix}2580a & 2580b \\ 2580c & 2580d\end{bmatrix}$$ 4. This means each element of the matrix is multiplied by 2580, resulting in the new matrix shown above. 5. This operation is straightforward and does not change the structure of the matrix, only scales its elements. Final answer: $$\begin{bmatrix}2580a & 2580b \\ 2580c & 2580d\end{bmatrix}$$