Math Problem Statement
Determine whether B is the inverse of A. A =
2 1 −1
5 3 −5 −1 −5 2 , B =
5 −1 5
−3 4 5 −3 4 5 AB =
Is B the inverse of A?
Yes No
Solution
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Matrix Multiplication
Matrix Inverses
Formulas
Matrix multiplication: (AB)ij = Σ Aik Bkj
Inverse matrix condition: AB = I
Theorems
Properties of Matrix Inverses
Identity Matrix Theorem
Suitable Grade Level
Grades 11-12, College Level