ISTER_REG
Junior Member
- Joined
- Oct 28, 2020
- Messages
- 59
Hi,
lets say that the [imath]b_1^*,...,b_n^*[/imath] are Gram Schmidt vectors and let [imath]v[/imath] be a vector in [imath]\mathbb{R}^n[/imath]. What is [imath]\frac{\langle v , b_i^* \rangle}{||b_i^*||^2}[/imath]? How can I interpret this? Is this for example the length of the component of [imath]v[/imath] projected on [imath]b_i^*[/imath]? I have not a very clear idea, but I would be interested to know how to understand the [imath]\frac{\langle v , b_i^* \rangle}{||b_i^*||^2}[/imath] (graphically/analytically).
Thanks for your help!
lets say that the [imath]b_1^*,...,b_n^*[/imath] are Gram Schmidt vectors and let [imath]v[/imath] be a vector in [imath]\mathbb{R}^n[/imath]. What is [imath]\frac{\langle v , b_i^* \rangle}{||b_i^*||^2}[/imath]? How can I interpret this? Is this for example the length of the component of [imath]v[/imath] projected on [imath]b_i^*[/imath]? I have not a very clear idea, but I would be interested to know how to understand the [imath]\frac{\langle v , b_i^* \rangle}{||b_i^*||^2}[/imath] (graphically/analytically).
Thanks for your help!