(c) Find the matrix corresponding to the quadratic form: Q(x) = 8x² + 7x2 - 3x² - 6x₁x₂ + 4x1x3 - 2x₂x3 What is the definiteness of Q? (d) Find the quadratic form corresponding to the matrix: 1 0 *-(2 B = 1 4 2 0 3

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: Solve for a+c+h+i in the following: а b c][3 4 2 -12 2 d Lg _h f||6 2 -1| = -2. e 4 -2 -9 L2 12 8.

A: The detailed solution of the problem is given in the next steps.

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

A:

Q: If a*b = ab - b/a,  Evaulate: (i)  3 * 6 (ii)   2x ( 3 * 6 )   Solve the simultaneous equations:…

A:

Q: A rectangular poster has an area of (2x + 3x - 10) square inches. What are the dimensions of the…

A: We can find the dimension of the rectangle as below.

Q: (2 + j)?

A:

Q: 14-5)+(3-l6i

A: topic- complex numbers real part is added to real part and complex part is added to complex part of…

Q: What is the resulting diagonalized

A: A quadratic form may be diagonalized by the following procedure: Find a variable x such that x2…

Q: 2j(5-j3) B) Given that (2a+jb)+(b-j3a)=- Obtain the values of a and b. (2+j)(1+j4)

A: Solve the left and right-hand side independently left-hand side 2ab+3ab+jb2-6a2 5ab+jb2-6a2…

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: Express as a polynomial. (2u +3)(u - 4) ( 4u+u ) 2

A: Given: y=22u+3u-44u+u For expressing given expression as a polynomial, we simplify given expression…

Q: What is the inverse of the function 2х + 1 f:R → R, f(x) ? 3.

A:

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: (a) Find A-1. (b) Use answer from (a) to solve Ax = b. (c) Use answer from (b) to express b as a…

A:

Q: V2x

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

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

A:

Q: show that (AB)-1 = B-1A-1

A: Given matrix A has a order of 2x2 while matrix B has a order of 2x3.

Q: (Left nullspace) Add the extra column b and reduce A to echelon form: [1 2 3 bi = [Ab] 4 5 6 b₂ - 7…

A:

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x3² + 4x1x2 – 2 x1X3 + 6x2x3

A:

Q: Find the matrix of the quadratic form. Assume x is in R b. 44x1x2 + 14x₁x2 - 8x2² a. 9x a. The…

A:

Q: Find the square root of the product of (3+ j4) and (2+ j8)

A:

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 + 4x1x2 -2 x1x3 + 6x2x3 2 2 -1 2 -2 1 (a) 2…

A: We have to solve given problem: