Question: Hard Puzzle the square root of a matrix A is a matrix R such that RR = A. Show that the matrix Has no square

Hard Puzzle the square root of a matrix A is a matrix R such that RR = A. Show that the matrix

Hard Puzzle the square root of a matrix A is

Has no square root, while the matrix

Hard Puzzle the square root of a matrix A is

Has an infinite number of square roots.

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