Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2 -3/2 -3/2 -2

Q: -2 -1 2 y 55 15 1 3.

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Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: Consider the fourth-degree polynomial equation a₁ + b₁x²q₁x² + b₂ a₂+ b₂x² a₂x² + b₂ a3 + b3x² a3x²…

A: Given that We know that determinant of a matrix is equal to zero if any two rows or two columns are…

Q: Find the matrix of the quadratic form associated with the quadratic equation 3x2 − 16xy + 3y2 − 13 =…

A: The given quadratic equation is 3x2-16xy+3y2-13=0. We have to find a matrix.

Q: -8 -9 -1 7 1 8 1-9 R1 +R2 R, - 17 1 (Simplify your answer.)

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Q: 2x+y=30 x+4z=20 2z+y=10

A: Given equations are: 2x+y=30 x+4z=20 2z+y=10 Then we get, y=30-2x So we have, 2z+30-2x=10…

Q: Find the matrix of the quadratic form. Assume x is in R³. a. 2x² +8x² − 3x²3 - 10x₁ x₂ + 8x₁×3 −…

A: Concept

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Write the system of linear equations 9x – 7y + 5z 3 — 8х — 1у — 92 -2 — бх + 1у — 52 2 as a matrix…

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Q: 2y+3x+3z=18 x-4z=1 x-y+4z=9 -R+E+G=1 R-G+3E=18 5E+R-6G=7 Solve the above equations using the…

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Q: Find the symmetric matrix A associated with the given quadratic form. see the attachment

A: x12-x32+8x1x2-6x2x3

Q: Re-order the equations, so that the coefficient matrix is diagonally dominant.

A: Writing Co-efficient matrix of given system of equations: [0 1 0 4 -2] [1 0 3 -1 0] [4 0 1 0 1] [2…

Q: Find the matrix A of the quadratic form associated with the equation.12x2 − 5xy − x + 2y − 20 = 0

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Q: 6х — 4у — 7z %3 -8x + 8y – 1z = 8х — 5у — 92 - 7 -

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Q: Find the matrix A of the quadratic form associated with the equation.16x2 − 4xy + 20y2 − 72 = 0

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Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: Find the matrix A of the quadratic form associated with the equation. 9x² + 6xy - 8y² - 72 = 0 8.3 A…

A: Let us consider the quadratic form Ax2+Bxy+Cy2+D=0 then the matrix form is  AB2B2C

Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Introduction: For two matrices A and B to be equal, the order of the matrices should be the same and…

Q: Find the matrix of the quadratic form. 5x + 3x² + 2x3-8X1X2 + X2X3 Select one: O A. 5 -4 1/27 -4 30…

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Q: Given that −1=−4x−3y and −5=7x+6y, find the values of x and y using the inverse of a matrix. Give…

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Q: x- 3y +2z = -6 4x-4y+5z -4 9x-5y + 2z = 2.

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Q: A = II 18x28xy + 18y² - 74 = 0

A: We can write any polynomial into quadratic form  if power is same eg: here x^2, Y^2, XY all have…

Q: Q1: Solve the set of equations using matrix: x+ 2y +3z 1 y + 4z = 0 5x + 6y = 1

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Q: M = Find the determinant of the matrix -32x³ 8+2x² + 4x³ -x³ 1 + x² + 2x³ -2 +6x² 4 - 12x² 0 -2-3x²…

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Q: -14 2k -81 9. Find the values of the variables 3f %3D 3 -3 3 10. Find the zeros of the polynomial r3…

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Q: 2x + y =2, 4x+3y=7. Find the solution(x=?,y=?) by using the Matrix calculation method including the…

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Q: 7x-4y 5 2) Solve the system of equations using matrix inverse method. 6x - 3y =9

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Q: (x-3y +3z = -8 7x+y +2z = 6 3x +2y - z = 4

A: Topic:- matrix

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.