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True or False? Justify your answer. Answers without correct justificationwill receive no credit.(a) Let A...

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Basic Math

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True or False? Justify your answer. Answers without correct justificationwill receive no credit.(a) Let A and B be two square matrices of the same dimension and A be an invertiblematrix then (A-BA) 2020 = A-B2020 A.Justification: True False(b) Let A be an nxn matrix. The set of all nxn matrices X that satisfies (A+ A)X = 0is not be closed under the matrix multiplication.Justification: True False(c) If A and B are n x n matrices of rank n, then AB also has rank n.Justification: True False

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