Find AB, if `A=[[0,-1],[ 0, 2]]`and `B=[[3, 5],[ 0, 0]]`.

Explanation

To find the product of matrices \( A \) and \( B \), we will follow the matrix multiplication rules. Given:

\[ A = \begin{bmatrix} 0 & -1 \\ 0 & 2 \end{bmatrix}, \quad B = \begin{bmatrix} 3 & 5 \\ 0 & 0 \end{bmatrix} \]

### Step 1: Determine the dimensions of the matrices
Matrix \( A \) is a \( 2 \times 2 \) matrix, and matrix \( B \) is also a \( 2 \times 2 \) matrix. Since the number of columns in \( A \) (2) is equal to the number of rows in \( B \) (2), we can multiply these matrices.
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