Math Problem Statement

Find the output of A³-A(a²+b²+c²). A=[[0,c,-b],[-c,0,a],[b,-a,0]]

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Algebra
Linear Algebra
Matrix Multiplication

Formulas

Matrix multiplication formula: (A × B)_ij = Σ_k A_ik B_kj
A^2 = (a² + b² + c²) I, where I is the identity matrix
A³ = (a² + b² + c²) A

Theorems

Properties of skew-symmetric matrices
Matrix exponentiation
Identity matrix properties

Suitable Grade Level

Undergraduate (University Level Mathematics)