If `A ,Ba n dC` three matrices of the same order, then prove that `A=B rArr A+C=B+C`

Explanation

To prove that if \( A = B \), then \( A + C = B + C \), we can follow these steps:

### Step 1: Understand the given information
We have three matrices \( A \), \( B \), and \( C \) of the same order (let's say \( m \times n \)). We are given that \( A = B \).

### Step 2: Write the elements of the matrices
Let the elements of matrices \( A \), \( B \), and \( C \) be represented as follows:
- \( A = [A_{ij}] \)
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