Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Inverses
Matrix Transposition
Matrix Multiplication
Scalar Multiplication

Formulas

(XYZ)^{-1} = Z^{-1} Y^{-1} X^{-1}
(B^T)^{-1} = (B^{-1})^T
Scalar multiplication with matrices (e.g., (1/3)A or 3B)

Theorems

Inverse of a product of matrices
Properties of matrix transpose and inverse

Suitable Grade Level

University Level (Linear Algebra)