Find the matrix corresponding to the quadratic form: - Q(x) = 8x² + 7x² − 3x² − 6x₁x₂ + 4x₁X3 − 2X₂X3 What is the definiteness of Q?

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: find the inverse of the 2x2 matrix : [3 1]…

A:

Q: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

A:

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: Use Cramer's rule (by hand) to find the unique solution of x1 +3x3 = -1 -3x1 +2x3 = 1 2x2-x3=0

A:

Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

A:

Q: Solve by Matrices method

A: Given system of equation is 2x1−x2+x3=8x1+2x2+x3=6x1−2x2−x3=1........1 Now write the the system (1)…

Q: Write x = -t³x2, x, = 4t³x2 in matrix notation. Solve and write the solution in matrix notation.

A: We are given a system of nonlinear first order differential equations : x1' = -t3x2  and  x2' =…

Q: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: 1. Solve with matrices: -7x₁ +5x2 - 6x3 = 3 5x12x2 + 3x3 = 5 X1 X2 + x3 = -2

A:

Q: Minimization: Z = 5X, + 6X, + 10X, + 7X, + 19X5 Subject to: %3D 5X, + X2 + 3X3 – 4X, + 3X5 2 2 -2X,…

A: In this problem we can observe that all Xj ≥0 and so, Z can be minimum 0 as all coefficients of Xj…

Q: Let A 1 2 −1 -2 3 -2 -1 1 1 Diagonalize A to find A100.

A:

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

A: x12-x32+8x1x2-6x2x3

Q: find the matrix of x12+4x1x2+6x2x3+2x32?

A:

Q: Let If A is 2x2 matrix and /(4)=0, then %3D

A:

Q: Find the matrix exponential of -3x1 + 8x2 x2 = 12x1 – 7x2 and use the matrix exponential to solve…

A: Given that  x1'=-3x1+8x2x2'=12x1-7x2 and the initial conditions are x10=1,x20=-1 The objective is to…

Q: Q3) Solve the following set of linear equations by the method of matrix inverse: 2x1 -X2=-1 X1 +X3=1…

A:

Q: Solve by inverse matrix method 過) 4. 8. 3 0 -7

A: Introduction: The adjoint of a matrix divided by the determinant of a matrix is the standard formula…

Q: Determine the solutions of each quadratic equation by extracting the square roots a) (Зх — 3)2 — 363…

A:

Q: Q3 a) Solve the following: 25x+2 = 53x-4 b) Given matrices, A = (3¹),B=(₁-2) and C = (8), find i.…

A:

Q: Solve using a matrix 4x + 6y = -182x - 4y = 12

A:

Q: Solve using augmented matrix methods 6x¹+    3x²=9 -4¹-      2x²=-6

A: Answer...The system have infinite solutions.Solution set is ...X1= (3-t)/2X2=t               here,…

Q: Apply Gauss Elimination method to triangularize the following set of quadratic equations. X1 + 4x2 –…

A: The given equations are  x1 + 4x2 - x3 = - 5 x1 + x2 - 6x3 = - 12 3x1 - x2 - x3 = 4 In the matrix…

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

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: if (A|b) is in reduced row echelon form, prove that A is also in reduced row echelon form.

A: (A|b) is the augmented matrix formed by placing elements of matrix B to the right of elements of…

Q: Solve for the 2 x 2 matrix X: X + 2 23 5 3 X.

A: Introduction: A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for…

Q: can you put the answer in matrix form

A:

Q: Advanced Math Question

A: We have to find r(π) Using Euler's formula, eit= cos(t) + i sin(t).

Q: Use the

A: we have; 3x1-2x2+4x3=213x1+4x2-2x3=92x1-x2-x3=10

Q: Prove that 3n² - 1 is never a perfect square.

A: Perfect square: An integer n is said to be a perfect square if n=k.k for some integer k  We now…

Q: Find the equation of the least squares using matrix methods. Use your equation in a above to…

A:

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

A:

Q: Provide the symmetric matrix that generates the following quadratic form Q(x): x+2x+3x3 + x₁x2 - 2X1…

A:

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

A:

Q: Which function is not quadratic? (O Ax) = (6x+ 9) -9 ()-x(x-9)(6x + 8) U Ax) = 7x + 8 Ax) = 6(x- 9)2

A: We have to check

Q: Find the matrix of the quadratic form. Assume x is in R³. 2x+3x2-9x²3 - 10x₁x2 + 18x₁×3 - 12×2×3 a.

A: