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Expert: - 12/24/2011


Question
Sir,in my opinion it is possible that every square matrix can have a square root matrix having the same order......is there any way to calculate the square root of a given square matrix....

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Questioner: ASWIN
Country: Kerala, India
Category: Advanced Math
Private: Yes  <<<<<<<<<<<<<<<<<<  changed
Subject: Matrix
Question: Sir,in my opinion it is possible that every square matrix can have a square root matrix having the same order......is there any way to calculate the square root of a given square matrix....

For a 2X2:  write

[x1  y1][x1  y1]
[x2  y2][x2  y2]

=
[a  b]
[c  d]

and solve the four equations..

That's all I can think of.  There might be some deep 'eigenvector' theorm on this, but I can't think of one.  

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