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The Square Roots of \(2 \times 2\) Matrices

The Cayley-Hamilton theorem may be used to determine explicit formulae for all the square roots of \(2 \times 2\) matrices. These formulae indicate exactly when a \(2 \times 2\) matrix has square roots, and the number of such roots.

Old Node ID: 
1775
Author(s): 
Donald Sullivan (University of New Brunswick, Canada)
Publication Date: 
Monday, April 14, 0008
Original Publication Source: 
Mathematics Magazine
Original Publication Date: 
December, 1993
Subject(s): 
Algebra and Number Theory
Linear Algebra
Matrix Algebra
Topic(s): 
Determinants
Matrix Algebra
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Publish Page: 
Furnished by JSTOR: 
Rating Count: 
21.00
Rating Sum: 
63.00
Rating Average: 
3.00
Author (old format): 
Donald Sullivan
Applicable Course(s): 
3.8 Linear/Matrix Algebra
4.13 Advanced Linear Algebra
Modify Date: 
Monday, April 14, 2008
Average: 3 (21 votes)

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