Question 44 Select the matrix corresponding to the quadratic form Q (21, 12, 13, 24) = -2xf + 5x – 7a - 42 – 621 22 + 4æzx1 -2x? + 52 – 7a –- 4.r – 62122 + 4x3 rı – 1021 E4 -2 5 -7 -4 2 3 4 -10 -7 -4 -6 2 -3 -5 -2 -6 4 -10 5 -7 -4 -3 -5 -3 -7 -5 -4 -2 4 -10 -6 5 4 -7 10 0 0 -4 2. 2.

Q: s elect the matrix correspon ding to the form Q(Xi, Xz,Xq, Xu ) = - 2x1² + 5 x - 7X -4 Xu - 6Xi Xz +…

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Q: 5х+6у —32 %3D 6 4x — 7у — 2z = 1. -3 Зx+у —7z

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Q: Find the matrix A of the quadratic form associated with the equation. 3x2 – 2xy + 3y2+ 8z2 – 27 = 0…

A: Answer

Q: Find the matrix of the quadratic form. 8x1x2-10x1x3 + 8x2x3 Select one: OA. 08-10] 80 8 0 O B. O C.…

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Q: -6 2 Show that A = and B = 9 -3 are similar matrices by finding an invertible -3 -1 -15 matrix P…

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

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Q: 1. (a) Construct a 3 x 3 matrix A such that the solution set of the equation Ax = 0 is the line in…

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

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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: Which of the following gives the correct matrix for this homogeneoussystem of equations in reduced…

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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: 2. Let 2 25 IO -1 23 7 013 and B= 32-1 23-2 A = a) If possible, invert the matnx A b) then solve the…

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Q: Suppose that T() and 7 () -E Find the standard matrix A for Tand find T(:) 14 and 2 and T (HD A-3…

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Q: 2 2 3. Transform the given matrix to RREF -2 1 1 -1

A: The given matrix is; 3 2 2 -2 0 1 1 -1 0. Repost the next question.

Q: Question 5: Let 1 A = 1 15 -2 (5a) Find a 3 × 3 matrix P and a diagonal matrix 0 A2 0 13 D = || such…

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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: Question 1 Set up the relevant matrices and determine the definiteness of the following quadratic…

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Q: 5. Use the matrices to solve the x- 2y + 3z = 4 system: 3x – 4y + z = 4 |2x +3y – 4z = –-2

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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: Prove that the quadratic equation A^2 - 3A = 2I hold true for the matrix A =  5  -6  -6        -1…

A: The detailed solution is as follows below:

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: Question 5 Suppose that A is an n x n matrix that satisfies the condition A² - 2A + I = 0. Use this…

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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: Question 2. Write the 4 × 4 matrix of entries [a] with aj %3D i+2j

A: To Find: 4×4 matrix of entries aij with aij=ii+2j. Concept:…

Q: Find the matrix associated with each of the followingquadratic forms: 2x2 + 3y2 + z2 + xy − 2xz +…

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Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: What is the matrix corresponding to 2x – 4r122+ r + 2 + 6x1T3? Select one: 2 4 O A. -4 1 3. 2 4 6 O…

A: Here we will find the corresponding matrix for the given expression,

Q: Find matrix K such that MKN = O if Show complete solution. 1 M = -2 3 1 2 0 0 1 N= 0 8 6 6-1 -4 0 -2…

A: Given that M=14-231-2N=20001-1O=86-66-11-400 To find the matrix K such that MKN=O.   Matrix…

Q: -2 1 To show that the matrix A = -1 1 satisfies its char- 1 -3 2

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Q: Express the quadratic equation 2x2 + 4xy + 7x – 2y + 8 = 0, in the matrix form x" Ax + Kx +f = 0,…

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: 2 0 Find the spectrum of the matrix A = 2 X(A) = { Ex: 5 :}

A: Consider the matrix  2002

Q: 4 Solve the matrix equation 2X+A=B for X if A= -1 1and B= 2 . X= (Sinpily yr enswi

A: Given: A=-3-4-11-25 & B=1-21-3-4-9 Consider 2x+A=B Since the dimension of the given matrix, A…

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: s elect the matrix correspon dinp to the form QlX, Xz, Xg, Xu ) = - 2x1²+ 5 x² - 7×3 -4Xu -6Xx Xz +k…

A: Use the fact that aij=coefficient of xixj/2 for I not equal to j And aii=coefficient of xi^2

Q: 5. Use the matrices to solve the x-2y+3z = 4 system: 3x- 4y+z = 4 2x +3y-4z = -2

A: We have to solve the equation by matrix method.

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 elect the matrix correspon ding to the form Q lXi, X2, Xq, Xu ) = – 2x,²+ 5 x; - 7×5 -4 Xu -6X, Xz…

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Q: Question 4 Find out a matrix that will project a 2D point onto the line 4x + 5y = 0.

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Q: Question 1. Let qA(x, y) = 4x² – 12xy + 9y? be the quadratic form of a matrix A E M2,2. Is A…

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

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Q: 4. The adjoint of the matrix A=1 2 0 3 1 is b. -1 10 0 -15 -2 4 -1 -1 -5 -2 d. Sone of these c. -1

A: A=20-1120311 first, we need to find the minor matrix M1, 1=det2011:  2 M1, 2=det1031:  1 M=1,…

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 a QR factorization of the matrix A. -4 10] A = | 2-30| 0 10] Select one: OA. OB. OC. O D.…

A: Let's solve Q and R factorization of matrix.

Q: the matrix correspon ding to the form s elect QLX,,X2, Xq, Xu ) = – 2x1² + 5 x; - 7×3 -4 Xú -6Xi Xz…

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Q: for the matrix        7   2   5 A=3   1  4      1    2  1 what is the element in the third row and…

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Q: -4 1 -2 -2 7 14 Show that A= -14 5 -14 | and B = 11 18 are similar matrices by finding an invertible…

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Q: 8. Q1. a) If A = 4 and B = then find the matrix X such that 2A +3X = 5B

A: We have to find the matrix X such that 2A+3X=5B where matrices are given as: A=804-236 and…