Solving linear systems (A\b) in MATLAB - Mini Project: Build & Apply

Solving linear systems (A\b)

📖 Scenario: You work in a small engineering firm. You need to solve a system of linear equations to find unknown values like forces or currents.

🎯 Goal: Build a MATLAB program that solves a system of linear equations using the A\b operator.

📋 What You'll Learn

Create a matrix A with exact values

Create a vector b with exact values

Use the \ operator to solve the system

Print the solution vector x

💡 Why This Matters

🌍 Real World

Solving linear systems is common in engineering, physics, and data science to find unknown values from equations.

💼 Career

Many technical jobs require solving linear equations efficiently, and MATLAB's <code>\</code> operator is a standard tool.

1

Create matrix A

Create a 3x3 matrix called A with these exact rows:
[3, -1, 2], [2, 4, 0], [-1, 2, 5]

MATLAB

% Your code here to create matrix A

Need a hint?

Use square brackets and semicolons to separate rows in MATLAB.

2

Create vector b

Create a column vector called b with these exact values:
5, 6, 7

MATLAB

A = [3, -1, 2; 2, 4, 0; -1, 2, 5];
% Your code here to create vector b

Need a hint?

Use semicolons to create a column vector in MATLAB.

3

Solve the system

Create a variable called x and assign it the solution of the system using A\b

MATLAB

A = [3, -1, 2; 2, 4, 0; -1, 2, 5];
b = [5; 6; 7];
% Your code here to solve for x

Need a hint?

Use the backslash operator \ to solve linear systems in MATLAB.

4

Display the solution

Write a disp statement to print the vector x

MATLAB

A = [3, -1, 2; 2, 4, 0; -1, 2, 5];
b = [5; 6; 7];
x = A\b;
% Your code here to display x

Need a hint?

Use disp(x) to show the solution vector.