Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Algebra
Determinants
Matrix Transposition
Matrix Inversion

Formulas

det(5A^{-1}B^t) = 5^2 * det(A^{-1}) * det(B^t)
det(A^{-1}) = 1/det(A)
det(A) = ad - bc for a 2x2 matrix
det(B^t) = det(B)

Theorems

Determinant of product of matrices
Determinant of inverse matrix

Suitable Grade Level

Undergraduate Level (or advanced high school)