Math Problem Statement
Find the order of this matrix (0 0 -1, 0 -1 0, 0 0 -1)
Solution
To find the order of a matrix, we determine the number of rows and columns it has.
Given the matrix:
0 & 0 & -1 \\ 0 & -1 & 0 \\ 0 & 0 & -1 \end{bmatrix}$$ ### Step 1: Count the rows and columns - The matrix has **3 rows** (horizontal lines). - The matrix has **3 columns** (vertical lines). ### Conclusion: The order of the matrix is **3 × 3 (rows × columns)**. --- Would you like further details about this topic? Here are related questions you might find helpful: 1. How is the order of a matrix determined? 2. What is the difference between the order of a matrix and its rank? 3. Can the order of a matrix affect its determinant or eigenvalues? 4. How to identify if a matrix is square using its order? 5. What are the applications of square matrices in solving systems of linear equations? **Tip:** The order of a square matrix (n × n) indicates it has $$n$$ rows and $$n$$ columns, which is a critical property in many mathematical contexts like determinant calculation.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Matrix Theory
Linear Algebra
Order of a Matrix
Formulas
Order of a matrix = number of rows × number of columns
Theorems
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Suitable Grade Level
Grades 9-12