Math Problem Statement

Solve matrix

Solution

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Math Problem Analysis

Mathematical Concepts

Determinants
Matrix Algebra
Cofactor Expansion

Formulas

Determinant formula for a 3x3 matrix: \(|A| = a_{11} \cdot \begin{vmatrix} a_{22} & a_{23} \\ a_{32} & a_{33} \end{vmatrix} - a_{12} \cdot \begin{vmatrix} a_{21} & a_{23} \\ a_{31} & a_{33} \end{vmatrix} + a_{13} \cdot \begin{vmatrix} a_{21} & a_{22} \\ a_{31} & a_{32} \end{vmatrix}\)

Theorems

Cofactor Expansion Theorem

Suitable Grade Level

Grades 11-12