Open Farquhar13 opened 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.
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.
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.