Question

Find the matrix for each of the following quadratic forms. (a)    q(x1, x2, x3) =...

Find the matrix for each of the following quadratic forms.

(a)    q(x1, x2, x3) = 7x12 + 3x22 − 4x32 + 12x1x2 + 18x2x3

b)    q(x1, x2, x3) = x1x2 + x1x3x2x3

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(a) For the following quadratic forms gi(x) write down the associated symmetric matrix Ai such that...
(a) For the following quadratic forms gi(x) write down the associated symmetric matrix Ai such that gi(x) = xT Aix. g1(x1, x2) = x21 − 2x1x2 + 4x2 g2(x1, x2) = 4x21 − 6x1x2 + x2 g3(x1, x2, x3) = 3x21 + 3x2 + 5x23 + 2x1x2 − 2x1x3 − 2x2x3 g4(x1, x2, x3) = −3x21 − x2 + 8x2x3 − 16x23 (b) Determine the definiteness of g1(x) and g3(x) using the method of eigenvalues. (c) Determine the definiteness of...
Find the number of integer solutions to x1+x2+x3=20 given the following restrictions: (A) x1>=3, x2>=2,x3>=5 (B)...
Find the number of integer solutions to x1+x2+x3=20 given the following restrictions: (A) x1>=3, x2>=2,x3>=5 (B) x1>=0, x2>=0, x3<=6
Give augmented matrix for this system. Find all solutions to this system. Indicate all parameters. x1-x2+x3+x4=1...
Give augmented matrix for this system. Find all solutions to this system. Indicate all parameters. x1-x2+x3+x4=1 2x2+3x3+4x4=2 x1-x2+2x3+3x4=3 x1=? x2=? x3=? x4=?
Let P = (x1, d1) -> (x2, d2) and Q = (x2, d2) -> (x3, d3)....
Let P = (x1, d1) -> (x2, d2) and Q = (x2, d2) -> (x3, d3). P and Q are covering maps. Show that the composition of P and Q (P ◦ Q) is also a covering map from (x1, d1) to (x3, d3). Thank you!
Find the number of solutions to x1+x2+x3+x4=16 with integers x1 ,x2, x3, x4 satisfying (a)  xj ≥...
Find the number of solutions to x1+x2+x3+x4=16 with integers x1 ,x2, x3, x4 satisfying (a)  xj ≥ 0, j = 1, 2, 3, 4; (b) x1 ≥ 2, x2 ≥ 3, x3 ≥ −3, and x4 ≥ 1; (c) 0 ≤ xj ≤ 6, j = 1, 2, 3, 4
We know the variance of three variables x1, x2,x3 and the covaraince (x1,x2) and covaraince (x2,x3)...
We know the variance of three variables x1, x2,x3 and the covaraince (x1,x2) and covaraince (x2,x3) Is there a way to find the covariance between x1 and x3?
Let X =( X1, X2, X3 ) have the joint pdf f(x1, x2, x3)=60x1x22, where x1...
Let X =( X1, X2, X3 ) have the joint pdf f(x1, x2, x3)=60x1x22, where x1 + x2 + x3=1 and xi >0 for i = 1,2,3. find the distribution of X1 ? Find E(X1).
Suppose that X1, X2, X3 are independent, have mean 0 and Var(Xi) = i. Find Cov(X1...
Suppose that X1, X2, X3 are independent, have mean 0 and Var(Xi) = i. Find Cov(X1 − X2, X2 + X3). .For X1, X2, X3,  find ρ(X1−X2, X2+ X3).
Find the number of 5-lists of the form (x1, x2, x3, x4, x5), where each xi...
Find the number of 5-lists of the form (x1, x2, x3, x4, x5), where each xi is a nonnegative integer and x1 + x2 + x3 + x4 + 3x5 = 12. Does this have to be answered by cases or is there a systematic way to determine all of the possibilities?
2. Find the number of integer solutions to x1 + x2 + x3 + x4 +...
2. Find the number of integer solutions to x1 + x2 + x3 + x4 + x5 = 50, x1 ≥ −3, x2 ≥ 0, x3 ≥ 4, x4 ≥ 2, x5 ≥ 12.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT