SOLUTION: True or False: If matrix A can be multiplied on the right by matrix B, must it be possible to multiply matrix B on the right by matrix A? Thank you in advanced.

Question 985692: True or False:
If matrix A can be multiplied on the right by matrix B, must it be possible to multiply matrix B on the right by matrix A?
Thank you in advanced.
Answer by ikleyn(52787) (Show Source): You can put this solution on YOUR website!

False in the general case.

For example, let A be 2x3 matrix (2 rows and 3 columns) and B be 3x3 matrix.

Then you can multiply AxB, but you can not multiply BxA.

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