Question: Please help in this wether its true or false and show full proof 3.1 If A and B are two matrices so that AB -

Please help in this wether its true or false and show full proof

3.1 If A and B are two matrices so that AB - BA exists and equals a zero matrix, then A and B are square matrices of the same size. 3.2 If a homogeneous m x n system has n = m -1, then the system must have a solution, and it must be unique. 3.3 If a homogeneous m x n system has a unique solution, then n = m - 1. 3.4 If a homogeneous m x n system (for m, n > 3) has a cornered coefficient matrix A, then the system must have infinitely many solutions. (See the definition of "cornered" above.)

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