# Determinant of a Matrix | Linear Algebra using Python

Linear Algebra using Python | Determinant of a Matrix: Here, we are going to learn about the determinant of a matrix and its implementation in Python.
Submitted by Anuj Singh, on May 29, 2020

In linear algebra, the determinant is a scalar value that can be computed for a square matrix and represents certain properties of the matrix. The determinant of a matrix A is denoted det(A) or det A or |A|. Python library numpy provides a wide range of functions that can be used to manipulate matrices. One of such functions is numpy.linalg.det(A), which allows us to directly return the value of the determinant of a matrix A.

Following is a python code for demonstrating how to use numpy.linalg.det(A)

## Python code for demonstrating how to use numpy.linalg.det(A)?

```# Linear Algebra Learning Sequence
# Finding determinant

import numpy as np

M = np.array([[2,3,4], [3,45,8], [4,8,78]])
print("---Matrix A---\n", M)

det_A = np.linalg.det(M)

print("The determinant of matrix A : ", det_A)

M = np.array([[2,3,4], [3,14,8], [14,8,7]])
print("\n\n---Matrix B---\n", M)

det_B = np.linalg.det(M)

print("The determinant of matrix B : ", det_B)
```

Output:

```---Matrix A---
[[ 2  3  4]
[ 3 45  8]
[ 4  8 78]]
The determinant of matrix A :  5661.9999999999945

---Matrix B---
[[ 2  3  4]
[ 3 14  8]
[14  8  7]]
The determinant of matrix B :  -347.00000000000006
```