Math Problem Statement
Consider the following matrix: C = [ [13, 1, 12], [14, -9, 0], [-14, 5, -5] ]. Determine the order of C.
Solution
The question asks to determine the order of the matrix , which is given as:
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? --- 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!Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix Algebra
Matrix Order
Formulas
Matrix order = number of rows × number of columns
Theorems
Definition of matrix order
Suitable Grade Level
Grades 9-12