On the square root of quadratic matrices
الموضوعات :
1 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran
الکلمات المفتاحية: eigenvalue, matrix equation, Square root of matrix,
ملخص المقالة :
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.
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