Matrix multiplication is distributive over matrix addition

Explanation

To determine whether matrix multiplication is distributive over matrix addition, we can follow these steps:

### Step 1: Define the matrices
Let \( A \), \( B \), and \( C \) be three matrices of appropriate dimensions such that the operations are defined. For example, let:
- \( A \) be an \( m \times n \) matrix,
- \( B \) be an \( n \times p \) matrix,
- \( C \) be an \( n \times p \) matrix.

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