Determinants of a Matrix
Tags: #math #determinantsEquation
$$|A|=\sum_{i,j,k,...}\epsilon_{ijk}A_{1i}A_{2j}A_{3k}...$$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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