Let A and B be n Times n matrices Which of the following sta

Let A and B be n Times n matrices. Which of the following statements are always true? (AB)^2=A^2B^2 If the homogeneous system Ax = 0 has infinitely many solutions then A is not invertible If AB = AC then B = C

Solution

i) We know disribution of exponents is not true on A

ii) Even this statement is not true for all

ii) This is true for all cases