Question: An n à n matrix A (with real entries) is called a square root of the n à n matrix B (with real entries) if

An n × n matrix A (with real entries) is called a square root of the n × n matrix B (with real entries) if A2 = B.
(a) Find a square of
An n × n matrix A (with real entries) is

(b) Find a square root of

An n × n matrix A (with real entries) is

(c) Find a square root of B = I4.
(d) Show that there is no square root of

An n × n matrix A (with real entries) is

B=1000

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