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The question asks to determine the order of the matrix \( C \), which is given as:

\[
C = \begin{bmatrix}
13 & 1 & 12 \\
14 & -9 & 0 \\
-14 & 5 & -5
\end{bmatrix}
\]

The order of a matrix is given by the number of rows and columns in the matrix.

In this case:
- There are 3 rows.
- There are 3 columns.

Thus, the order of matrix \( C \) is **3 × 3**.

Would you like more details, or do you have any further questions on this topic?

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Here are five related questions to expand your understanding:
1. How do you determine if a matrix is square?
2. What is the significance of the order of a matrix in matrix operations?
3. Can the order of a matrix change after performing row or column operations?
4. How do you find the determinant of a 3 × 3 matrix?
5. What properties do matrices of order 3 × 3 have?

**Tip**: A matrix is called square if its number of rows equals its number of columns!

Consider the following matrix: C = [ [13, 1, 12], [14, -9, 0], [-14, 5, -5] ]. Determine the order of C.

Learn how to determine the order of a given matrix with three rows and three columns. This example covers key concepts in matrix algebra, including matrix order. Suitable for high school students.

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