# college-Linear Algebra

Let V={f(x)=c0 + c1x + c2x2 : �ç01 f(x)dx=1}. In other words, V is the set of all polynomials of degree 2 or less such that their integral from 0-1 is equal to 1.
a)Show that the sum of two polynomials in V is not in V
b)Show that an affine combination of two polynomials in V is in V
c)Give a parametric description of the polynomials in V

1. 👍 0
2. 👎 0
3. 👁 89
asked by Amanda

## Similar Questions

1. ### Math

Let V={f(x)=c0 + c1x + c2x2 : ç01 f(x)dx=1}. In other words, V is the set of all polynomials of degree 2 or less such that their integral from 0-1 is equal to 1. a)Show that the sum of two polynomials in V is not in V b)Show

asked by Amanda on October 29, 2008
2. ### 11th grade math

Below is a set of at least two related math/science "words" with their letters combined and arranged in alphabetical order. When you successfully unscramble the letters into the component words, there will be can additional word

asked by ali on April 10, 2009
3. ### 12th grade math

Below is a set of at least two related math/science "words" with their letters combined and arranged in alphabetical order. When you successfully unscramble the letters into the component words, there will be can additional word

asked by ali on April 10, 2009
4. ### math

Below is a set of at least two related math/science "words" with their letters combined and arranged in alphabetical order. When you successfully unscramble the letters into the component words, there will be can additional word

asked by ali on April 10, 2009
5. ### ODE

if the DE x^2.y"+xy'-y=0 has a general solution c1x+c2.x^-1, use the variation of parameters to find the particular solution x^2.y"+xy'-y=2-2/x

asked by mo on August 26, 2012
6. ### math

describe (in words) two different sets of people containing you as a member. describe (in words) the complement of each set. describe what people are not in either the orininal set or the complement set You might think of various

asked by Liam on May 12, 2007
7. ### english

list three sets of rhyming words from this poem. One set has four words. Summer. When summer blues the skies and thrushes sing for hours, and gold and orange butterflies float by like flying flowers. Although I squint my eyes the

asked by Anonymous on March 16, 2014
8. ### algebra 2

x2 + 2x – 10/ 3x – 15 Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero. Find the domain for each of your two rational expressions. Write the domain of each rational

asked by peaches on July 11, 2016
9. ### algebra 2

16t^2 – 1/64 Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero. Find the domain for each of your two rational expressions. Write the domain of each rational expression in set

asked by peaches on July 11, 2016
10. ### Algebra ll

X^2 - 25/2 AND 37/K^2-K-30 I really need help with these two problems.? •Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero. •Find the domain for each of your two rational

asked by Anonymous on October 2, 2014

More Similar Questions