Math Problem Statement
Find output of A³-A(a²+b²+c²). A=[[0,c,-b],[-c,0,a],[b,0,-a]
Solution
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Math Problem Analysis
Mathematical Concepts
Matrix Algebra
Matrix Multiplication
Skew-Symmetric Matrices
Formulas
Matrix Multiplication: (AB)_{ij} = Σ A_{ik} B_{kj}
A^3 - A(a^2 + b^2 + c^2)
Properties of Skew-Symmetric Matrices: A^T = -A
Theorems
Cayley-Hamilton Theorem
Suitable Grade Level
University Level (Advanced Linear Algebra)
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