Math Problem Statement
Даны две матрицы А и В НАЙТИ: а) АВ: б)ВА: в) а-1
Solution
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Math Problem Analysis
Mathematical Concepts
Matrix Multiplication
Inverse of a Matrix
Formulas
Matrix multiplication formula: (AB)_{ij} = \sum_{k=1}^{n} A_{ik} B_{kj}
Inverse of a matrix: A^{-1} is such that A * A^{-1} = I
Theorems
Associative property of matrix multiplication
Existence of the inverse for square matrices (det(A) ≠ 0)
Suitable Grade Level
Undergraduate or Advanced High School