Two Methods of Evaluating Determinants

Author Topic: Two Methods of Evaluating Determinants  (Read 2276 times)

msu_math

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Two Methods of Evaluating Determinants
« on: November 14, 2012, 12:26:01 PM »
In linear algebra, the determinant is a value (scalar quantity) associated with a square matrix. The determinant of a square matrix A is usually denoted by |A|. For a square matrix A[aij] of order 2, |A| is defined to equal the value a11a22 - a21a12. Determinant of higher order matrices are evaluated recursively by combining the determinants of lower order matrices in a specific arithmetic manner.

Two frequently used methods for evaluating determinants:

1. Co-factor Expansion Method:   http://oase.daffodilvarsity.edu.bd/MatDet_input.php

2. Row Reduction Method:   http://oase.daffodilvarsity.edu.bd/MatDetReduc_input.php
« Last Edit: November 14, 2012, 01:10:54 PM by msu_math »

Lecturer in Mathematics
Department of Natural Sciences
FSIT, DIU

msu_math

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Re: Two methods of evaluating determinants
« Reply #1 on: November 14, 2012, 12:27:19 PM »
Applications of Determinant: The determinant provides important information when the matrix is that of the coefficients of a system of linear equations, or when it corresponds to a linear transformation of a vector space: in the first case the system has a unique solution if and only if the determinant is nonzero, while in the second case that same condition means that the transformation has an inverse operation.
« Last Edit: November 14, 2012, 01:11:14 PM by msu_math »

Lecturer in Mathematics
Department of Natural Sciences
FSIT, DIU

proteeti

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Re: Two Methods of Evaluating Determinants
« Reply #2 on: March 28, 2014, 10:50:20 PM »
necessary!!

Anuz

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• জীবনে আনন্দের সময় বড় কম, তাই সুযোগ পেলেই আনন্দ কর
Re: Two Methods of Evaluating Determinants
« Reply #3 on: November 14, 2016, 01:56:09 PM »
Thanks
Anuz Kumar Chakrabarty
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Department of General Educational Development
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Tofazzal.ns

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Re: Two Methods of Evaluating Determinants
« Reply #4 on: March 15, 2017, 11:41:33 PM »
Thanks for sharing.