Math Problem Statement
Given the matrices AA and BB shown below, find B, minus, A, .B−A. A, equals, open square bracket, begin matrix row 1, column 1, 5 row 1, column 2, minus, 4 row 1, column 3, minus, 3 row 1, column 4, minus, 1 row 2, column 1, minus, 1 row 2, column 2, 3 row 2, column 3, 0 row 2, column 4, minus, 3 end matrix , close square bracket, B, equals, open square bracket, begin matrix row 1, column 1, minus, 5 row 1, column 2, 2 row 1, column 3, minus, 4 row 1, column 4, minus, 4 row 2, column 1, 5 row 2, column 2, minus, 3 row 2, column 3, 4 row 2, column 4, 1 end matrix , close square bracket A=[ 5 −1
−4 3
−3 0
−1 −3 ]B=[ −5 5
2 −3
−4 4
−4 1 ]
Solution
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Math Problem Analysis
Mathematical Concepts
Matrix Operations
Matrix Subtraction
Formulas
Matrix Subtraction: (B - A)ij = Bij - Aij
Theorems
Matrix Arithmetic Theorem: Subtraction of Matrices requires equal dimensions
Suitable Grade Level
Grades 9-12