Math Problem Statement
If possible, find A + B, A - B, 2A, and 2A - 5B for matrices A and B. (If not possible, enter IMPOSSIBLE.)
Solution
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Math Problem Analysis
Mathematical Concepts
Matrix addition
Matrix subtraction
Scalar multiplication
Formulas
Matrix addition: (A + B)_{ij} = A_{ij} + B_{ij}
Matrix subtraction: (A - B)_{ij} = A_{ij} - B_{ij}
Scalar multiplication: (kA)_{ij} = k * A_{ij}
Theorems
Matrix addition and scalar multiplication properties
Suitable Grade Level
Undergraduate (Linear Algebra)
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