Document Type: Research Paper


Department of Mathematics‎, ‎Payame Noor University (PNU)‎, ‎P.O‎. ‎Box 19395-4697‎, ‎Tehran‎, ‎Iran


Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2\times 2$ matrices.


Main Subjects

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