Problem 2 - Assuming that all the relevant multiplications exist, which of the following are always true? If not, can yo

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Problem 2 Assuming That All The Relevant Multiplications Exist Which Of The Following Are Always True If Not Can Yo 1 (34.98 KiB) Viewed 39 times

Problem 2 - Assuming that all the relevant multiplications exist, which of the following are always true? If not, can you find a counterexample? 1. If AB = CA = I, then C = B 2. AnB = Ak (An-kB) 3. If AB AC then B = C = 4. If AB = 0 then A = 0 or B = 0 5. There exists some n for which (AB)nT = AB, where nT is n-times transpose. For example for n = 2, (AB)2T = ((AB)T)T.