 #1
Pushoam
 962
 51
Equation 9.2.25 defines the inner product of two vectors in terms of their components in the same basis.
In equation 9.2.32, the basis of ## V \rangle## is not given.
## 1 \rangle ## and ## 2 \rangle ## themselves form basis vectors. Then how can one calculate ## \langle 1 V \rangle ## ?
Do we have to assume that all of these vectors are given in the orthogonal basis with vectors given by
## \begin{bmatrix}
1
\\ 0
\end{bmatrix} ## and ## \begin{bmatrix}
0
\\ 1
\end{bmatrix} ## ?
Attachments

upload_2018819_18296.png12.5 KB · Views: 1,468

upload_2018819_182942.png22 KB · Views: 534

upload_2018819_183130.png26.6 KB · Views: 568

upload_2018819_183210.png21.1 KB · Views: 532

upload_2018819_183513.png23.9 KB · Views: 578

upload_2018819_19512.png14.8 KB · Views: 1,441

upload_2018819_195544.png25.7 KB · Views: 4,580

upload_2018819_195616.png17.6 KB · Views: 1,157

upload_2018819_195723.png6.1 KB · Views: 1,194

upload_2018819_195759.png33 KB · Views: 1,350
Last edited: