Question 3 Which of the following do you know to be true or expect to be true for all square matrices A, B, and C of the same size? Find a counterexample to each statement that you believe not to be true in general. (a) (AB)CA(BC) (b) (AB)2=A² B² (c) (-A)(-B) = AB (d) (A+B)2 A² + 2AB+ B² = (e) (A+I)² = A² + 2A+I (f) ATA=AAT

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