Determine if 1000 could be represented by a quadratic form of discriminant −51
Determine if 1000 could be represented by a quadratic form of discriminant −51
Determine all primes that could be represented by the principal form with discriminant−51
Determine all primes that could be represented by the principal form with discriminant −51
Consider the quadratic form Q - 2u24u,u2 5u22 + 2uzu32u,u 8. Write the quadratic form with the help of a matrix, in the form XAX 9. Examine whether the "definitness" of this quadratic form 10. BONUS (1 point). Calculate the eigenvalues of the discriminant and use them to check your answer to question 9
Consider the quadratic form Q - 2u24u,u2 5u22 + 2uzu32u,u 8. Write the quadratic form with the help of a matrix, in the form XAX 9....
Quadratic equations
Compute the value of the discriminant and give the number of real solutions of the quadratic equation 3x-9x+4-0 Discriminant: Number of real solutions:
Consider the quadratic form Q = -2u2 - 6v2 + 6uv. A. Find the eigenvalues of the discriminant of Q. B. Using the eigenvalues, check the “definitness” of the quadratic form. C. Using the eigenvalues, calculate the determinant of the discriminant.
t. 10. Recall that the discriminant of a quadratic equation arbc0 is given by - 4ac (a) (1 pt)Write the Quadratic Formula using the symbol A (b) (2 pts)By considering the results of (a), what can we say about the roots of the equation lu in 100 yd. long and 150 ft. wide.
Determine whether or not the given equations are quadratic. If the resulting form is quadratic identify a, b, and c, with a > o, Otherwise, explain why the resulting from is not quadratic 2x(2x5)-72 7) (2T 3) 1 (3x-2) 2
Determine the definiteness of the quadratic form q(11, 12) = 9z; - 42222 +633.
Determine if the binary quadratic form
is equivalent to
over
5.2 + 26.0y +5941 26.x2 + 56.ry +35y We were unable to transcribe this image
diagonal form for the quadratic form
Which of the following is a diagonal form for the quadratic form f = 3x2 – 2xy + 3y2 ? a) u² – 2x² Ob) 2u? – V2 Oc) 4u² + 2v2 O d) 2u? – 4v2