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