This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
\begin{bmatrix} 24 & 9 & 12 \ 3 & 15 & 27 \ 18 & 21 & 3 \end{bmatrix}
You're on a roll — This image shows a completed magic square. A magic square is a square grid where the sum of the numbers in each row, each column, and both main diagonals is the same. The problem states that "The total is 45."
Let's verify if the given square is correct.
The square is:
Step 1: Check the sum of each row.
Step 2: Check the sum of each column.
Step 3: Check the sum of the main diagonals.
The main diagonal () sums to , which is not . Therefore, the given square is not a magic square with a total of 45.
The given square is:
\begin{bmatrix 24 & 9 & 12 \\ 3 & 15 & 27 \\ 18 & 21 & 3 \end{bmatrix} }❌ Incorrect. The sum of the main diagonal () is , not .
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You're on a roll — This image shows a completed magic square. A magic square is a square grid where the sum of the numbers in each row, each column, and both main diagonals is the same.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.