## Determinants of a Matrix

Tags: #math #determinants### Equation

$$|A|=\sum_{i,j,k,...}\epsilon_{ijk}A_{1i}A_{2j}A_{3k}...$$### Latex Code

|A|=\sum_{i,j,k,...}\epsilon_{ijk}A_{1i}A_{2j}A_{3k}...

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### Introduction

If A is a square matrix then the determinant of A, |A| or (det A) is defined as above. The number of the suffixes is equal to the order of the matrix.

Latex code for Determinants of Matrix

- Assume A is a 2 by 2 matrix with elements of [a, b, c, d].
- The determinants of A (det |A|) equals to (ad-bc).
- And the inverse matrix A^{-1} is calculated as

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