7. Find a polynomial of degree 2 to fit the following data: 1 3 0.1 – 0.2 1.4 a. Set up all equations b. Convert equation to a matrix form [A] [c] =[b] c. Find an inverse matrix reduce row echelon form (show step by step), then solve for a solution using an inverse method.

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: [4 5] The inverse of the matrix C = is C- Use this fact to solve the system CX - D, where D- and X…

A: The matrix C=-352-4 and the matrix C-1=-124523. Also the matrix D=50-24. It is given that CX=D.…

Q: 4. 1 a) Find by Gauss elimination, the inverse of the matrix, 2 -1 -2 2. 421

A: Since you have asked multiple questions, as per our company guidelines, we will solve the first…

Q: 3. Solve the following systems of equations using Gaussian elimination. (f) 2x, – 3x, - X = = Er 3x,…

A: The Gaussian Elimination method is Also known as row reduction to find solution of system of linear…

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

A: Solution: Consider the given quadratic form is: 2x2 - 3y2 + z2 - 4xz we know that if ϕ =…

Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A:

Q: Table Q4(b) is generated from the function f(x)=e* – 4x² + B , where B is the last two digits of…

A: here question has a mistake , though I correct it and solve it for you, here two different f(x) is…

Q: x+2] is an invertible matrix, t 4 LA 2х-3 х+1

A: If A is an invertible matrix than determinant of A is not equal to zero.

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

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Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

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Q: 10.3 (a) Solve the following system of equations by LU decomposition without pivoting X1 +7x2- 4x3 =…

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Q: Show that if A is a square matrix that satisfies the equation A2 -2A +I= 0, then A-1 = 2I -A.

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Q: O Show that the secular equation for an arbitrary 2 x 2 matrix ( ) can be solved exactly by a…

A: Please check step 2 for the solution.

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

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

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Q: 10.3 (a) Solve the following system of equations by LU decomposition without pivoting 8x1 + 4x2 – x3…

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Q: 3. Solve the following systems of equations using Gaussian elimination. (f) 2x, 3x2 - X3 2 3x1 5x2…

A: Consider the given equation. 2x1-3x2-x3=23x1-5x2-2x3=-19x1+6x2+4x3=1 Now, make the equations in a…

Q: 4 For matrix A = 12 ). if g(X) = X? + 4x+ 2,what is the answer to g(A)?

A: You have asked multiple unrelated questions in the same post. I have addressed the first one. Please…

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

A:

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists).

A: Given matrix, 210112021

Q: Solve the following optimization problem using algebraic methods. Maximise f(x1,x2)=3x1+2x2…

A: We have to add the slack and surplus variables to convert the given linear programming problem into…

Q: 1 1 2] X =| 2 2 2 3 1 Calculate the inverse of the matrix 4 by using the result of Cayley Hamilton…

A: The solution is given below in the next step:

Q: 8 Consider a square matrix B whose inverse is given by B'. a In terms of B", what is the inverse of…

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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: Let Q and Q' be two equivalent quadratic forms with respective n x n matrices A and B. respectively.…

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Q: Find the inverse of the matrix (if it exists). (If an answer does not exist, enter DNE.) 5 11 1 6 15…

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Q: m below using LL + = fr+ x+ 4.x, – 2x, = 4 9 = 'xp-+ x7+ of the matrix in a

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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: 7. (S.15). Find the inverse A-1 of the matrix -2 -3 A = 0 2 -1 -1 -2 3

A: Matrix Question

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists).

A: Let A=2301-2-120-1 , I=100010001. Combining the matrix A and I to form a augmented matrix. The…

Q: (1 2 3 Q15. Apply Gauss-Jordan method to find the inverse of the matrix 0 1 2 3 1 1

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Q: [1 A 2 1 0 and b : 3 2 3 Jse Gauss-Jordan elimination to compute the inverse of the matrix

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Q: 11 Use the Gauss–Jordan method to find the inverse of the [1 0 2] matrix 0 1 L0 1 1]

A: By Gauss-Jordan method an inverse of matrix is find, it is also called elementary row operations…

Q: for a matrix A 3 6 2 5 if f(x)=(x+2)(x-2), calculate f(A)

A: Given: Matrix A=3625 To Find: f(A) when f(x)=(x+2)(x-2)

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists)

A:

Q: Find the inverse of the matrix A1 using Gauss Elimination Method 1 1 -1 2 r1 1 2 A 1 -1 3 3 2 1 2-

A: Let us consider the matrix A then the inverse of the matrix exist if  A must be a square matrix the…

Q: 07 1 1 1 2 Find the characteristic equation of the matrix 0 2

A:

Q: In a certain region, about 7% of a city's population moves to the surrounding suburbs each year, and…

A: Given: In a certain region, about 7% of a city's population moves to the surrounding suburbs each…

Q: Question 44 Select the matrix corresponding to the quadratic form Q (21, 12, 13, 24) = -2xf + 5x –…

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Q: In the Attached Problem, show that the matrix A is nilpotent and then use this fact to find the…

A: The given matrix is, A=30-350730-3. Obtain the Eigen values of the given 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: S 2

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Q: 3. a) Solve the following using Gauss elimination: x₁ + x₂ + x3 = 2 2x₁ + 3x₂ + 4x3 = 3 X₁ - 2x₂x3 =…

A: Answer is in below steps.

Q: 3 -1 0 2 4 N O

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

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Q: 4. Use the Gauss-Jordan method to compute the inverse of the matrix A below without introducing…

A: Hey there I am not familiar with any other method other than this for Gauss Jordan elimination…

Q: For matrix A if f(X) = X2 + 4, what is the answer to f(A)?

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Q: 1. Solve for the element 4-2 of the inverse of matrix A below. 8 -1 A = 2 1 6 3 1 2 4 1

A: We have to find out first inverse of matrix A and then find element 4-2 means fourth row and second…

Q: Let A be an invertible matrix such that A-¹ = NOT 2 0 l-1 213 01 1 Solve the system (2A2)x= b, where…

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.