If \( A \) and \( B \) are two matrices of order \( 2 \times 3 \) and \( 3 \times 4 \) respectively, then their product \( AB \) is of order \( 2 \times 4 \).
If \( A \) and \( B \) are square matrices of the same order, then \( AB = BA \).
The augmented matrix of the system of linear equations in matrix form \( Ax = B \) is given by \( (A|B) \).
Any homogeneous system of linear equations has at least one solution.
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The Correct Option isB
Solution and Explanation
For square matrices \( A \) and \( B \), the commutative property \( AB = BA \) does not hold in general. Matrix multiplication is associative but not commutative.