AI & MACHINE LEARNING PROGRAM • LEVEL 03 — LINEAR ALGEBRA

Find a 2 by 2 Determinant with Python

Learn find a 2 by 2 determinant with python with a short, executable Python example.

IntermediateDeterminantMatrix

PROBLEM UNDERSTANDING

Input and expected output

Sample input
No input required
Sample output
14

COMPLETE PYTHON PROGRAM

Complete Python implementation

ai-ml-03-determinant-2x2.py
Open in compiler
matrix = [[4, 6], [3, 8]]
determinant = matrix[0][0] * matrix[1][1] - matrix[0][1] * matrix[1][0]
print(determinant)

GUIDED CODE TOUR • NOT LIVE EXECUTION

Study the program line by line

Use the real compiler button above to run and debug with different inputs.

CURRENT STEP

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SELECTED LINE

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EXPECTED OUTPUT FOR THE SAMPLE

14
0%Step 0 of 0

PROGRAM EXPLANATION

Algorithm and explanation

  1. Initialize the sample values used to find a 2 by 2 determinant.
  2. Apply Determinant and Matrix to compute the required result.
  3. Display the result for find a 2 by 2 determinant and compare it with the documented sample output.

This example of find a 2 by 2 determinant computes the result directly from the prepared sample data. It demonstrates Determinant and Matrix and prints a deterministic result that can be checked against the sample output.

EFFICIENCY

Time and space complexity

Time complexity

O(n)

Auxiliary space

O(1)

DEBUGGING CHECKLIST

Common mistakes

Check this

For find a 2 by 2 determinant, keep the data shape and value types consistent with Determinant.

Check this

Apply Determinant in the same order shown by the algorithm; changing the order can change the result.

Check this

Verify the final Determinant and Matrix result against the sample before trying new data.

Try it yourself

Practice: Run the program with the sample input, predict its output, and then test one boundary case of your own.