Purchase Solution

Vector space and basis

Not what you're looking for?

Ask Custom Question

Consider the following elements of the vector space P3 of all polynomials of degree less than or equal to 3.

p(x)= x-1, q(x)=x+x2, r(x)= 1+x2-x3
Do these three polynomials form a basis for P3?

Purchase this Solution

Solution Summary

This shows how to determine if polynomials for a bases for P3.

Solution Preview

We know, a basis in P3 is {1, x, x2, x3}, in another word, any ...

Purchase this Solution

Free BrainMass Quizzes
Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.