(Solution) If A, B and C are nn matrices such that C is not invertible and AC = BC, then A = B. If A is an n n matrix such that Am = I is the identity matrix...

I. If A, B and C are n×n matrices such that C is not invertible and AC = BC, then A = B.II. If A is an n × n matrix such that Am = I is the identity matrix for some m ? N ={1, 2, 3, . . .}, then A is invertible.III. If A is an n × n matrix such that Am ? I = 0, where I is the identity matrix and m ? N = {1, 2, 3, . . .} is some integer, then A = I.Which of the above statements are true?And could you tell the reason?

 

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Sep 21, 2023

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