a) Find A, BT,A- B, (A + B),AB, BA if they exist. b) Is the following...

 

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a) Find A", BT,A- B, (A + B)",A™B, BA if they exist. b) Is the following inequality always true: CD + DC ? Give an example. c) If the matrix product CD exists, does the following equality always holds: (CD)" = D™CT ? Give an example. 1 2. 1 - 1 Let A = (3 4), B= ( 2 1). 5 6 -3 4 a) Find A", BT,A- B, (A + B)",A™B, BA if they exist. b) Is the following inequality always true: CD + DC ? Give an example. c) If the matrix product CD exists, does the following equality always holds: (CD)" = D™CT ? Give an example. 1 2. 1 - 1 Let A = (3 4), B= ( 2 1). 5 6 -3 4