Understanding Determinants: Calculation and Function

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Homework Help Overview

The discussion revolves around the concept and calculation of determinants in linear algebra, particularly focusing on their role in determining the invertibility of square matrices and other applications like Cramer's rule.

Discussion Character

  • Conceptual clarification, Exploratory

Approaches and Questions Raised

  • Participants explore the definition and purpose of determinants, with inquiries about the general method of calculation. There are also requests for resources on foundational matrix concepts and related topics like lattice points.

Discussion Status

Some participants have provided resources and suggestions for further reading on matrices and lattice points, while others express a need for clarification on the fundamental concepts related to determinants.

Contextual Notes

There is a mention of a link to a method for calculating determinants, but the original poster seems to have gaps in their understanding of matrices, indicating a potential need for foundational review.

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What does a determinant do exactly (what is it)? And what is the general method of calculating it?
 
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The determinant is mainly used to determine whether or not a square matrix is invertible. There are other applications as well. (ie. Cramer's rule for determining solutions to a system of linear equations)

The method used is generally the http://tutorial.math.lamar.edu/Classes/LinAlg/MethodOfCofactors.aspx" (note link)
 
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hmm...I see...I've practically forgotten the concept of matrices, but thanks. If possible, do you know of a site that simply goes through the fundamentals of matrices? And (this question is slightly random)...what is a lattice point?
 
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Thanks for the help.
 

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