Doubt regarding matrix multiplication

#1

in this video lecture at time 9:33
sir get theta value but how as
if X dimension is m x n, y is of m x 1 dimension then X.T has n x m dimension, and first part has dimension of n x n and second part has dimension n x 1. and inverse of first part is same dimension so theta should have dimension of n x n but sir get dimension of n x 1 how?

#2

Hey @Jan19LPN0013, dimension of first part will be nn, inverse of first part will also have nn. Now, dimension of second part is x.T * y so (n,m) * (m,1). So second part will have shape of (n,1).

And finally when we mutliply inverse of first part with second part, i.e. (n,n) * (n,1) the final output will be (n,1)

Hope this resolved your doubt.
Plz mark the doubt as resolved in my doubts section. :blush:

#3

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