The matrix S is said to be a square root of the matrix A if S2 =

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The matrix S is said to be a square root of the matrix A if S2 = A.
(a) Show that

is a square root of the matrix

Can you find another square root of A?
(b) Explain why only square matrices can have a square root.
(c) Find all real square roots of the 2 Ã— 2 identity matrix

(d) Does

have a real square root?

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Applied Linear Algebra

ISBN: 978-0131473829

1st edition

Authors: Peter J. Olver, Cheri Shakiban

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Question Posted: Jun 17, 2016 08:20 AM

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The matrix S is said to be a square root of the matrix A if S2 =

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04 0 -(0 9) -1=(3-0) -1 0

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a Check that S 2 A by direct computation Another ...View the full answer

Applied Linear Algebra

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