Regularized logistic regression

Course Q&A Machine Learning Specialization Supervised ML: Regression and Classification
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I am curious about regularized logistic regression. It is supposed to have (m) w vectors. However, we only sum up one of w vectors without specify which one of them. I am so confused. Please help me figuire out. Thanks!

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There is only one weight vector.
‘m’ is the number of examples.

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Thanks a lot! It really helps