Homework Statement
Let X be the vector space of polynomial of order less than or equal to M
a) Show that the set B={1,x,...,x^M} is a basis vector
b) Consider the mapping T from X to X defined as:
f(x)= Tg(x) = d/dx g(x)
i) Show T is linear
ii) derive a matrix...
Homework Statement
Given matrix,
A= (-1 0 2;2 -1 0)
and
B=(-3 4;2 1)
Find SVD using matlab.
Homework Equations
The Attempt at a Solution
matlab code for svd;
[d,e,f]= svd(c)
c= A*B (but i got an error in MATLAB when i tried this)
thanks
Homework Statement
Let V=(x1,x2,..Xn) Sum X = 0 be a subspace of R^n. Find a basis of V such that Sum X^2=1
Homework Equations
The Attempt at a Solution
for Sum X =0
x1+x2+..+xn =0
xn= -x1-x2-...
So <x1, x2, ...,-x1-x2-...>=<x1, 0,0...,-x1> +<0,x2,0,...,-x2)+...
Hi
I'm a new student and don't have any basics for linear algebra. thanks
Homework Statement
Q1. Let X be the vector space of polynomials of order less than or equal to M.
a) show that the set B = {1,x,...x^M}
b) consider the mapping T from X to X as defined as :
f(x)=T...