https://file.aiquickdraw.com/mathbot/file/1726948337645kjty8n8g.jpg

The determinant of matrix \( A \) is:

\[
\text{det}(A) = 842
\]

Would you like further details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you calculate the determinant of a 3x3 matrix?
2. What does the determinant tell us about the matrix?
3. Can a matrix with a zero determinant be inverted?
4. How do determinants relate to the area or volume in geometry?
5. What properties of a matrix affect its determinant?

**Tip:** If you swap two rows or columns in a matrix, the sign of the determinant will change, but its magnitude remains the same.

Find the determinant of the matrix A = [[5, -5, -7], [-6, -9, -8], [2, 9, -2]].

Learn how to find the determinant of a 3x3 matrix A = [[5, -5, -7], [-6, -9, -8], [2, 9, -2]]. This problem demonstrates the application of linear algebra concepts and the determinant formula. Suitable for students in Grades 10-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation