Find the matrix A of the quadratic form associated with the equation. x² + y² –...
Question 10 Find the matrix of the quadratic form associated with the quadratic equation 7x2 +1&xy – 2y2 -32=0. Selected Answer a
Find the matrix A of the quadratic form associated with the equation. 48x2 + 72xy + 27y2 - 74x - 52y + 70 = 0 A = Find the eigenvalues of A. (Enter your answers as a comma-separated list.) a = Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...], where each row is a comma-separated list.) P=
Find the matrix A of the quadratic form associated with the equation. 6x2 - 9xy - 6y2 + 5 = 0 A= Find the eigenvalues of A. (Enter your answers as a comma-separated list.) 2 = Find an orthogonal matrix P such that PTAP is diagonal. (Enter the matrix in the form [[row 1], [row 2], ...), where each row is a comma-separated list.) P = Need Help? Read It Talk to a Tutor
step by step please Find the matrix of the quadratic form associated with the equation. 24x2 - 6xy + 16y2 - 74 = 0 A=
9. Find the symmetric matrix A associated with the given quadratic form. A. x +223 +63122 B. 2x2 – 3y2 + x2 - 4x2
4. (a) Find the symmetric matrix A associated with the quadratic form, q = 5x - 4.1112+5x3, and compute the eigenvalues X, and 12 and the associated normalized eigenvectors e, and e2 of A. (b) Use the result of Part (a) to determine the spectral decomposition for A PAP. 22), and y. . wal. Rewrite q = (c) Let x = Py, where P is in Part (b), x = ( 5x - 4x32 +503 in y-variables, yı and y2.
Find the symmetric matrix A associated with the given quadratic form 2x2-3y2+z2 - 4xz A= Find the symmetric matrix A associated with the given quadratic form 2x2-3y2+z2 - 4xz A=
for a matrix solution of the quadratic (3) Find a formula of the form x = -B C equation ax2 + bx +c = 0. Here c denotes and 0 denotes 0 0 (Hint: First show how the square root of any number D can be obtained using a where it looks different depending matrix of the form on whether D is negative. Then use the quadratic formula.) positive or for a matrix solution of the quadratic (3) Find a...
1. [8 marks] Write equation 7x{ +6x1x2 + 7x3 = 1 as a matrix-vector quadratic form, convert it to a canonical form and determine the type of a curve to which it corresponds. 2. [16 marks] Find the spectral matrix and the corresponding modal matrix for -5 0 157 B = 3 4 -9. Write down the formula that needs to be used to diago- -5 0 15 nalise matrix B, but do not perform matrix multiplications.
Exercise 2 Consider the symmetric matrix A a13 23 012 a13 023 , the quadratic form .q(z) = z'Az, associated T2 T3 1. Show that for x = with the symmetric matrix A is 2. Using the result from question (1), find the matrix associated with the quadratic forms below. Assumed that x is in IR3