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Finding a Determinant and Inverse Matrix by Bordering

by Yong-Zhuo Chen and Richard F. Melka

This article originally appeared in:
College Mathematics Journal
January, 1998

Subject classification(s): Algebra and Number Theory | Algebra | Matrices
Applicable Course(s): 3.8 Linear/Matrix Algebra

The authors present a procedure for finding the determinant and inverse of a special class of matrices.  The strategy adds borders to the original matrix, and makes use of row operations and determinant rules.

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Capsule Course Topic(s):
Linear Algebra | Determinants
Linear Algebra | Matrix Algebra
Linear Algebra | Matrix Invertibility
Linear Algebra | Partitioned Matrices & Block Multiplication
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