Consider the following four 2x2 matrices: Aj = A2 = A3 = and A = Prove that a 2x2 matrix M commutes with any 2x2 matrix if, and only if, M commutes with A1, A2, A3, and A4. That is, given a 2x2 matrix M, show that the following statement holds: ( MA1 = | MA3 = A3M, and MA4 A4M. ALM, MA2 = A2M, MN = NM, for every 2x2 matrix N

a learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com + Bb Bb https://learn-us-east-1-prod-fleet02-xythos.content.blackboardcdn.com/5d44406cac91b/269743121?X-B.. b My Questions | bartleby دکتر هلاکوی ی هلاکوی ی جدید هلاکوی ی خیانت هلاکوی ی ازدواج هلاکوی ی اعتماد به نفس هلاکوی ی 2021 - YouTube 0 D) Minimize C=-0.10x1- 0.12x2 - 0.21x3 subject to Зx1 + 9х2 + 7х3 s 500 5x1 + 8x2 + 6x3 s 800 8x1 + 6x2 + 9x3 2 700 x1 + x2 + x3 s 300 X1, x2, x3 2 0 onstruct a truth table for the proposition. 17) ~р - (~рлs) A) 17) B) ps~p-(~p ^ s) TT TF ps~p -(~p ^ s) TT F T F F FT T FT T F F F F F F C) ps~p-(~p ^s) TT D) ps~p-(~p a s) T|T T TF TF FT F T F T F F T T F FF T Express the proposition as an English sentence and determine whether it is true or false, where p and q are the propositions p: "9 ·9 = 81" q: "8 · 10 < 7 · 11 18) The contrapositive of p - q 18) A) If 8 · 10 is less than 7 · 11, then 9 · 9 is equal to 81; false B) If 8 · 10 is not less than 7 · 11, then 9 - 9 is not equal to 81;…