Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Determinants
Matrix Inversion
Matrix Transposition

Formulas

|kA| = k^n |A|
|A^{-1}| = 1 / |A|
|AB| = |A| |B|
|B^T| = |B|
|A^2| = |A|^2

Theorems

Determinant of a Matrix Product
Determinant of a Transpose Matrix
Determinant of a Scalar Multiple of a Matrix

Suitable Grade Level

Undergraduate (Linear Algebra)