Consider these Values:

The set ot first four Hermite polynomials is

S={

1) Show that the set S of first four Hermite polynomials form a basis for

2) Find the coordinate vector of the polynomial

allhvasstH
2021-09-05
Answered

Consider these Values:

The set ot first four Hermite polynomials is

S={

1) Show that the set S of first four Hermite polynomials form a basis for

2) Find the coordinate vector of the polynomial

You can still ask an expert for help

pivonie8

Answered 2021-09-06
Author has **91** answers

Given:

Consider the values

The set of first four Hermite polynomials is S={

Calculation:

a) dim(

The standard basis for

For,

then

Answer (a):

The polynomials are Linearly Independent and hence they form a basis for

b)

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