Solve by matrix method. [tex]x-\frac{2}{3} y \text { and } 4 x-3 y=1[/tex]
Answer (1)
The solution to the system of equations is x = − 2 and y = − 3 .
Examples
Matrix methods are used in various fields like computer graphics for transformations, in economics to analyze input-output models, and in engineering for structural analysis. For example, in computer graphics, matrices are used to rotate, scale, and translate objects in 3D space. Solving systems of linear equations using matrices allows engineers to determine the forces and stresses in complex structures, ensuring their stability and safety. Economists use matrix algebra to model the relationships between different sectors of an economy, helping them to understand how changes in one sector can affect others. These applications demonstrate the practical importance of matrix methods in solving real-world problems.
