On the square root of quadratic matrices

Journal of Linear and Topological Algebra

مقاله 7، دوره 08، شماره 03، آبان 2019، صفحه 211-214   

نوع مقاله: Research Paper

نویسنده

A. Zardadi^*

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

چکیده

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.

کلیدواژه‌ها

Square root of matrix؛ matrix equation؛ eigenvalue

مراجع

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