Determinants of a Matrix Equation Formula Latex Code and Summary

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

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

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]. $A=(\begin{matrix} a & b\\ c & d \end{matrix})$
The determinants of A (det |A|) equals to (ad-bc). $|A|=ad-bc$
And the inverse matrix A^{-1} is calculated as $A^{-1}=\frac{1}{|A|}(\begin{matrix} d & -b\\ -c & a \end{matrix})$

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Cynthia Hall

Striving to pass this upcoming test.

2023-07-13 00:00
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Best Wishes.

2023-07-24 00:00:00.0
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Longing to see a pass when I get my exam results.

2023-02-05 00:00
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Lauren Sanchez reply to Stephanie Robinson

Nice~

2023-02-05 00:00:00.0
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Annie Mason

Wishing for a good outcome on this exam.

2023-08-13 00:00
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Nicholas Baker reply to Annie Mason

Nice~

2023-08-28 00:00:00.0
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