Last answered:

15 Jun 2022

Posted on:

19 May 2022

0

Last Example in Dot product for matrices

In the last example couldnt we transpose the 1st matrix to be 4x3 and transpose the 2nd to be 3x2 then we could get a 4x2 output matrix ?

1 answers ( 0 marked as helpful)
Instructor
Posted on:

15 Jun 2022

0

Hey Ahmed,

Thank you for your question and apologies for the delayed answer!

Note the following equality:
image.png
Therefore, transposing the matrices and then multiplying them would not give you the same result as multiplying them in the same order. The dot products
image.png
and
image.png
would yield a 4x2 and a 2x4 matrix, respectively. However, the matrices A and B, multiplied in the following order
image.png
are not compatible.

Hope this helps!

Kind regards,
365 Hristina

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