SOLUTION: True or False. the following matrices can be multiplied. [2 -2] [0 1] [3 -3] [9 -1] [0 1]

Algebra ->  Matrices-and-determiminant -> SOLUTION: True or False. the following matrices can be multiplied. [2 -2] [0 1] [3 -3] [9 -1] [0 1]      Log On


   

Question 95025: True or False.
the following matrices can be multiplied.
[2 -2] [0 1]
[3 -3] [9 -1]
[0 1]
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The dimensions of the one on the left are 2 by 2
The dimensions of the one on the right are 3 by 2
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As they are arranged you have (2x2)*(3x2)
The "inner" dimensions are not the same so the
matrices cannot be multiplied.
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If you could switch their positions so you would
have (3x2)(2x2) the "inner" dimensions would be
the same and you could multiply them.
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Cheers,
Stan H.