mml-book / mml-book.github.io

Companion webpage to the book "Mathematics For Machine Learning"
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Page 51 possible error #647

Open Farquhar13 opened 3 years ago

Farquhar13 commented 3 years ago

On page 51 it is written:

"The coordinates of Φ(b_j) with respect to the ordered basis C of W are the j-th column of A_Φ."

Isn't this only true if {b_i} is the canonical basis {e_i}? Here, the set {b_i} is an arbitrary basis.

Farquhar13 commented 3 years ago

The same also applies to the last comment of the box for example 2.21 on page 52.

\alpha_j, j = 1, 2, 3, are the coordinate vectors of Φ(b_j) with respect to C.