Matrix inverse (inv) in MATLAB - Mini Project: Build & Apply

Matrix inverse (inv)

📖 Scenario: You are working with a small dataset of numbers arranged in a matrix. You want to find the inverse of this matrix, which is useful in solving systems of equations and many other real-life problems like engineering and physics.

🎯 Goal: Learn how to create a matrix in MATLAB, set up a variable for the inverse, calculate the inverse using the inv function, and display the result.

📋 What You'll Learn

Create a 2x2 matrix called A with exact values

Create a variable called invA to store the inverse

Use the inv function to calculate the inverse of A

Display the inverse matrix using disp

💡 Why This Matters

🌍 Real World

Matrix inversion is used in engineering, physics, computer graphics, and solving systems of equations.

💼 Career

Understanding matrix inverse is important for jobs in data science, engineering, and scientific computing.

1

Create the matrix A

Create a 2x2 matrix called A with these exact values: first row 1 and 2, second row 3 and 4.

MATLAB

% Create the matrix A
% Your code here

Need a hint?

Use square brackets and semicolon to separate rows: A = [1 2; 3 4];

2

Create the variable invA to hold the inverse

Create a variable called invA to store the inverse of matrix A. Do not calculate it yet.

MATLAB

A = [1 2; 3 4];
% Create variable invA to hold the inverse
% Your code here

Need a hint?

Initialize invA as an empty array first: invA = [];

3

Calculate the inverse of A using inv

Calculate the inverse of matrix A using the inv function and store it in the variable invA.

MATLAB

A = [1 2; 3 4];
invA = [];
% Calculate the inverse of A and store in invA
% Your code here

Need a hint?

Use invA = inv(A); to calculate the inverse.

4

Display the inverse matrix invA

Display the inverse matrix stored in invA using the disp function.

MATLAB

A = [1 2; 3 4];
invA = inv(A);
% Display the inverse matrix invA
% Your code here

Need a hint?

Use disp(invA); to show the inverse matrix.