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Manitoba linear algebra
Michael Doob
Contents
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Contents
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Title Page
1
Systems of Linear Equations
2
Matrix Theory
3
The Determinant
4
Vectors in Euclidean
n
space
5
Eigenvalues and eigenvectors
6
Linear transformations
7
Additional Topics
Authored in PreTeXt
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Chapter
3
The Determinant
3.1
The determinant of small matrices
3.2
Minors and cofactors
3.3
The determinant of large matrices
3.4
Properties derived from cofactor expansion
3.5
The adjoint of a matrix and Cramer's rule
3.6
A deeper investigation of the properties of determinants
