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how we use the matrices to solve linear system?

🎯 What the video covers This tutorial explains how matrices can be used to solve systems of linear equations. It shows how to set up a system of linear equations in matrix form (coefficient matrix + variable vector + constant vector), and then how to apply matrix operations (such as row reduction or inverse‐matrix method) to find the solution. The video likely walks through a concrete example step-by-step, demonstrating how to convert the linear system into a matrix and then solve it via matrix methods. 💡 Who it’s for Students who are learning algebra or early linear algebra and want to see how matrices are applied in solving systems of equations. Learners preparing for exams who need to understand the matrix method of solving systems (in addition to substitution and elimination). Anyone wanting a clear visual demonstration of how matrices “package” a system of equations and make the solving process more systematic. ✅ Why it’s useful It bridges the gap between “solving by elimination/substitution” and “solving by matrix methods,” which is crucial as you move into higher maths. Helps you see the structure: how each row in the coefficient matrix corresponds to an equation, how operations change the system. Builds foundational skills for working with matrices, which will be helpful in advanced courses (like linear algebra or data science). 📝 Suggested ways to use it Watch through first to get the big picture of the method. Pause at each step and replicate the matrix construction and row operations on paper. After viewing, try creating your own small system (2×2 or 3×3), convert it into matrix form, and use the same method to solve it. Make note of key terms like: coefficient matrix, augmented matrix, row reduction (RREF), inverse matrix (if shown). Since you’re preparing for your exam, you could write out a short “cheat-sheet” summarizing the steps: (1) Write equations, (2) Form coefficient matrix and constant vector, (3) Use matrix method (row reduction/inverse), (4) Interpret the solution.