# Vector space and basis

Not what you're looking for?

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

No.

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.