Matrix multiplication along a specified dimension?

I have a 2x2xN matrix, A, and a 2xN matrix, X. I want to multiply each Nth 2x2 matrix in A by the Nth 2x1 matrix in X. I can do this with:
for i = 1:N
B(:,i) = A(:,:,i)*X(:,i);
end
However, this is very slow, especially in my case where N is large.
Is there a way to do matrix multiplication "along a specified dimension" without a for loop?
Apologies if this is a duplicate question, I looked and could not find anything. Most of the other answers I found involve element-wise multiplication along a specified dimension, which is different than what I am doing.

 Accepted Answer

B=pagemtimes(A,X)

2 Comments

Exactly what I was looking for! The speed up is impressive. I would just add that in order for this to work, it is necessary to permute X to be 2x1xN using permute(X,[1,3,2]). Thanks!

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on 28 Sep 2022

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on 28 Sep 2022

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