Question: Let A e Mnmm). a) Prove that if A2 = In and n is odd, then A must have at least one non-real entry (

Let A e Mnmm). a) Prove that if A2 = In and n is odd, then A must have at least one non-real entry ( (b ) Show that there is a meal 2 x 2 matlix A such that A2=12.' (C ) Bonus: Show that if n is even then then: exists an A E JVInxn(R) such that A2

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