The discussion revolves around expressing a vector in terms of given basis vectors in a four-dimensional space. The basis vectors are defined as e1, e2, e3, and e4, and the vector in question is y = (3, 1, 2, 5).
The discussion is ongoing, with participants exploring different ways to represent the vector in terms of the basis vectors. There is a question regarding the reasoning behind specific coefficients, indicating a productive inquiry into the representation.
There is a potential confusion regarding the coefficients used in the expression of the vector, particularly the mention of 0.5 for e2, which may not align with the expected representation based on the vector's components.
939 said:Homework Statement
Given the basis vector:
e1 = 1 0 0 0
e2 = 0 1 0 0
e3 = 0 0 1 0
e4 = 0 0 0 1
Express the following vector in terms of the basis:
y = 3 1 2 5
Homework Equations
e1 = 1 0 0 0
e2 = 0 1 0 0
e3 = 0 0 1 0
e4 = 0 0 0 1
y = 3 1 2 5
The Attempt at a Solution
= 3(e1) + 0.5(e2) + 2(e3) + 5(e4)