(d) Write down the matrix of the quadratic form Q(x1,x2, 3, x4) = x +2x3 – 7x3 +xỉ – 4x)x2+ &x,x3- 6r3x4 %3D

Q: Find the matrix A of the quadratic form associated with the equation. 3x2 + 8xy – 2y² – 6 = 0 A =

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

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Q: Find the matrix of the quadratic form. Assume x is in R°. 5x - 4x3 + 3x3 + 18x,x2 - 4x,×3 b. 3x -…

A: We want to find matrix of given quadratic form.

Q: For matrix A = \2 3. ). if g(X) = X² + 4x+ 2, what is the answer to g(A)?

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Q: For matrix A = (4  1)                        (2  3)  if g(X) = X^2 + 4x + 2, what is the answer to…

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Q: Let A be the coefficient matrix of the system of equations X1 – x2 = -2 8x1 – 7x2 = 0 -7 1° Use the…

A: Here we have,  x1-x2=-28x1-7x2=0 we have to use the inverse of the matrix A-1=-71-81 to find the…

Q: 6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b.…

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Q: Find the symmetric matrix A associated with the given quadratic form.             5x12 -x22 + 2x32 +…

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Q: 4x+5y+4z = 8 3x+3y+ z =-9 5x+5y+2z = -1 Write the augmented matrix:

A: For a system of equations is a matrix of numbers in which each row represents the constants from one…

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

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Q: -2 Find the QR-factorization of the matrix A = 1

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Q: (d) Write down the matrix of the quadratic form Q(x1,x2,X3,X4) = x} +2x3 – 7x3 + xỉ – 4x1x2+ 8xjx3 –…

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

A: The given set of equations are…

Q: Find the cofactors of the matrix -2 - 4 l1 2 3.

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Q: 5. Solve the system of equations 3x, - 2x2 + 2.xs = 10 *1 + 2x2 – 3xs = = -1 4x1 + x2 + 2x3 = 3 (a)…

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Q: Find the matrix of the quadratic form 2x,2 + 3x22- x3-4x1x2 + 2 x1X3 + 6x2x3 -1 2 -2 1 (a) 2 3 3 (b)…

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Q: Find the symmetric matrix A associated with the given quadratic form. 2x2-3y2-z2-4xy

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Q: Find the matrix of the quadratic form. Assume x is in R2. a. 1x21 – 4x1x2 + 5x22 b. 3x21 + 2x1x2

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Q: Find the matrix A of the quadratic form associated with the equation. x2 + y2 - 4 = 0 A =

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Q: Find the negative of matrix. A] = { 0. [A %3D -3 8

A: Given that, the matrix is A=2045-38. Note that, the negative of the matrix A is -A.

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: 11. If a and B are the roots of the quadratic 3.x2 - 4x +6 = 0, find the value of (+) -3 12. For…

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Q: Find a formula for the quadratic form that does not use matrices. 2 -5 [ * y ] -5 7 -5 [ x y -5 7

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1, x2, x3) = x+ 4x3+ 6x3+ 2x1x2…

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Q: Find the matrix of the quadratic form associated with the equation. 12x2 - 4xy + 26y² - 56 = 0 I3D

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Q: -9x+7y=3 3x-6y = 5 What is the augmented matrix?

A: As we know that: if the equations ax+by=k1 and cx+dy=k2. then the augmented matrix can be written…

Q: Perform the elementary row operation R2 → R3 to matrix B to obtain matrix C. -1 0 0 01 1 2 4 2 -2 A…

A: Our Aim is to perform the elementary row operations R2↔R3 to the matrix given below:-

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: Give the matrix associated with the quadratic form 10(x,)? – 5x,x2 +6(x,)².

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Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

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

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

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

A:

Q: Q3. Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse 5…

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1,x2,x3) = xỉ+4x3+6x3+2x1X2+x2x3+3x1x3.…

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Q: Find the matrix A of the quadratic form associated with the equation.9x2 + 10xy − 4y2 − 36 = 0

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Q: Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: The given equation is x2+y2-9xy. The standard equation is ax2+by2+cz2+2fyz+2gzx+2hxy. The…

Q: Find the matrix of the quadratic form. 2 4x1 + 6x +3x3-10x1x2 + X2X3 Select one: O A. O B. C. O D.…

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Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.

Q: 4 For Exercise, perform the elementary row operations on the matrix A = | 1 5 -3 R3 →R3

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Q: Find the matrix of the quadratic form. 3x; + 4x, + 5x3 - 12x, x2 + X2X3 O A. 3 - 6 - 6 2 3 - 6 4 2 -…

A: Quadratic form and associated matrix

Q: Find the matrix A of the quadratic form associated with the equation. 9x2 - 6xy +9y2 + 24z² - 29 = 0

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Q: 2. Write the quadratic function f(x,,y;)=-3x; +2x,x, – 3x; – 4x, – 4x, +6 in matrix form as f(x) =…

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Q: Find the matrix B such that 2AT+3B=0.

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Q: Find the matrix A of the quadratic form associated with the equation.10xy − 10y2 + 4x − 48 = 0

A: The expression ax2 + bxy + cy2 is the quadratic form associated with the quadratic equation ax2 +…

Q: 1 2 5 203 5 3 4 (a) Write down the quadratic form corresponding to the matrix A =

A:

Q: 10. Find the simetric matrix for the quadratic form Q(x1,x2,x3) = xỉ + 3x + x,x2 – x1x3

A: Since you have asked multiple question, we will solve the first question  for you. If you want any…

Q: Find the matrix A of the quadratic form associated with the equation. 18xy – 18y2 + 4x – 32 = 0 A =

A: We find A

Q: Use Cramer's Rule to solve the 3 x 3 matrix A- 3B + 7Z = 13 A +B +Z =1 A- 2B + 3Z = 4

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Q: WHe-the syftems of equations as an augmented matrix. 31=- -5x-31+57=-a 7-bx-5y42=- \e

A: to write the augumented matrix we will simply form a 3*3 matrix with co efficients of x,y and z in…