# 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:
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File Content:
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