Math Problem Statement

Solve the matrix equation 2XplusAequalsB for X if Aequalsleft bracket Start 3 By 2 Matrix 1st Row 1st Column negative 2 2nd Column negative 7 2nd Row 1st Column 0 2nd Column 7 3rd Row 1st Column negative 3 2nd Column 4 EndMatrix right bracket and Bequalsleft bracket Start 3 By 2 Matrix 1st Row 1st Column 6 2nd Column negative 5 2nd Row 1st Column 6 2nd Column 2 3rd Row 1st Column 1 2nd Column 6 EndMatrix right bracket .

Solution

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Math Problem Analysis

Mathematical Concepts

Matrix Equations
Matrix Addition and Subtraction
Scalar Multiplication

Formulas

2X + A = B
X = (1/2) * (B - A)

Theorems

Properties of Matrices
Distributive Property of Matrices

Suitable Grade Level

Grades 10-12