Question

Determine whether the given polynomial is a linear combination of: P1=2+x+x2 P2=1-x2 P3=1+2x a) 1+x b)...

Determine whether the given polynomial is a linear combination of:

P1=2+x+x2

P2=1-x2

P3=1+2x

a) 1+x

b) 1+x2

c)1+x+x2

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- As an alternative ; we can form additional...
let p1(x) = x^2-3x-10 ,p2(x)=x^2-5x+1,p3(x)=x^2+2x+3 and p4(x)=x+5 a- As an alternative ; we can form additional equation involving a1,a2,a3,and a4 using differntiation.explain how how to produce a system of equation with unknown constant a1,a2,a3,a4. Since there are 4 unknown ,you will need 4 equattion find them b- Find Basis for the vector space spanned by p1(X),p2(x),p3(x),p4(x). express any reductant vector in terms of linear combination of the others .Note you might want to use row in the changes?
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases B={1, x, x2, x3}and...
Let T: P3→P3 be given by T(p(x)) =p(2x) and consider the bases B={1, x, x2, x3}and B′={1, x−1,(x−1)2,(x−1)3} of P3. (a) Find the matrix of T relative to B. (b) Find the change of basis matrix from B′ to B.
2. Let P 1 and P2 be planes with general equations P1 : −2x + y...
2. Let P 1 and P2 be planes with general equations P1 : −2x + y − 4z = 2, P2 : x + 2y = 7. (a) Let P3 be a plane which is orthogonal to both P1 and P2. If such a plane P3 exists, give a possible general equation for it. Otherwise, explain why it is not possible to find such a plane. (b) Let ` be a line which is orthogonal to both P1 and P2....
In this question we denote by P2(R) the set of functions {ax2 + bx + c...
In this question we denote by P2(R) the set of functions {ax2 + bx + c : a, b, c ∈ R}, which is a vector space under the usual addition and scalar multiplication of functions. Let p1, p2, p3 ∈ P2(R) be given by p1(x) = 1, p2(x) = x + 2x 2 , and p3(x) = αx + 4x 2 . a) Find the condition on α ∈ R that ensures that {p1, p2, p3} is a basis...
given the planes P1 and P2 determine whether the planes intersect or are parallel. if they...
given the planes P1 and P2 determine whether the planes intersect or are parallel. if they intersect, give the direction vector for thr line of intersection. P1:3x+y-3z=4 p2:2x+3y+2z=6
Consider three different processors P1, P2, and P3 executing the same instruction set. P1 has a...
Consider three different processors P1, P2, and P3 executing the same instruction set. P1 has a 2.5 GHz clock rate and a CPI of 1.25. P2 has a 3 GHz clock rate and a CPI of 1.6. P3 has a 4.0 GHz clock rate and has unknown CPI. a. (5 points) Compare the performance of P1 and P2 in terms of number of instructions they can execute per second. b. (5 points) Program X is executed by P1 in 20...
Determine if the first vector is a linear combination of the other two vectors. Show algebraically...
Determine if the first vector is a linear combination of the other two vectors. Show algebraically how you found your answer. 2x^2 + 2x + 1, -x^2 + 2x + 1, -2x^2 + 2x + 1 in P2 (P subscript 2) (R).
Determine if the given polynomials given below span P2 p(x) = 1 − x2 , q(x)...
Determine if the given polynomials given below span P2 p(x) = 1 − x2 , q(x) = 1 + x, r(x) = 4x2+ 3x − 1, s(x) = 3x2+ 4x + 1
Let S = {x2+2, x+1, x-1} a) Show that S is a basis for P2. b)...
Let S = {x2+2, x+1, x-1} a) Show that S is a basis for P2. b) Determine [x2+x+1]s
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials...
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials in Z5[x], i.e. represent f(x) as a product of irreducible polynomials in Z5[x]. Demonstrate that the polynomials you obtained are irreducible. I think i manged to factorise this polynomial. I found a factor to be 1 so i divided the polynomial by (x-1) as its a linear factor. So i get the form (x3 − 2x2 + 2x − 1) = (x2-x+1)*(x-1) which is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT