Math Problem Statement

Using elimination method, determine the value of the matrices X and Y in the following simultaneous equations: 2X + 3Y = [[2, 3], [4, 0]], 3X + 2Y = [[2, -2], [-1, 5]].

Solution

We are given two simultaneous matrix equations and asked to solve for matrices XX and YY using the elimination method

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Math Problem Analysis

Mathematical Concepts

Linear Algebra
Simultaneous Equations
Matrix Operations

Formulas

Elimination method for solving linear equations
Matrix addition and scalar multiplication

Theorems

Matrix equality theorem
Elimination method for systems of linear equations

Suitable Grade Level

Grades 10-12

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