Meaning of unit vector

I've been trying to solve this problem, and I understand the programming part of it. However, I don't understand what it means to start from "the unit vector". Could someone please explain what vector the unit vector is referred to?

Generate the Hilbert matrix A of order n=6 and apply 4 iterations of the inverse power method in order to compute an approximation of the eigenvalue \lambda_p that is the closest to p=0.2, starting from the unit vector. Then, use the command eigs to compute the reference ''exact'' value.

Answer 1

[James Tursa]

A unit vector is any vector v such that norm(v) = 1. For your case of order n=6, you want a 6 element vector v with norm(v) = 1. Some examples of 6-element unit vectors:

v = [1;0;0;0;0;0]

or

v = [1;1;1;1;1;1]; v = v/norm(v);

or

v = rand(6,1); v = v/norm(v);

Any one of these could be used as a suitable starting vector for your problem.

Answer 2

[shahd khalid]

how to find the absolute of value

[Erfan Hosseini]

U can use the below function:

abs(x);

x is the variable u wanna find its absolute value