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

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 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 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: If A = (ajj) is the matrix of the quadratic form x + 2x, + 2x? + 6x1x2 – 22x1x3 - 8x2x3, then the…

A: If A=aij is the matrix of the quadratic form x12+2x22+2x32+6x1x2-22x1x3-8x2x3, then we have to find…

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. 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: Perform the row operation 3R,-→R, on the following matrix. 1 -3 2 4 -6 -8 1-3 4 -6 -8

A: Given matrix is,

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: 2. -1 2 2. 2 2 A. 20

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Q: Perform the row operation 3R1 + R2 R2 on the matrix below. 1 3 2 4 6 8 3R1 R2R2 2 1 3 -6-8 4

A: The transformation is shown below

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: 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: Perform the row operation 5R, +R2→R2 on the matrix below. 1 4 -6 -8

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

A: x12-x32+8x1x2-6x2x3

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: Write the sustem of equationo of the form Ax = B X,-2x2 +4x3= -2 メ」t x2 t 5えるニ一 メ1 X 2 X 3 Write an…

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

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Q: Find the symmetric matrix A associated with the given quadratic form. x12+ 2x22 + 6x1x2

A: Given: The symmetric matrix A for the general quadratic form is written as follows, By comparing…

Q: Find the matrix X if 2 1 -1 3 X= 2 4 1 3

A: The given matrix is in the form AX = B, where

Q: Solve using augmented matrix method:   3 x1 + 4 x2  = 1       x1 -   2x2     = 7

A: The given system is, 3x1+4x2=1x1-2x2=7 Solve the above system using augmented matrix method as…

Q: erform the row operation ( − 1)R₁ + R₂→R₂ on the matrix below. 1 -4 6 2 -7 -8 (-1)R₁ + R₂ R₂ 1 -4 6…

A: To apply the given operation to the given matrices.

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

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Q: Q#2:-Find how many Even and Odd numbers inside the upper triangle of the secondary diagonal for…

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Q: Use the theory of invertible matrices to solve the following system of equations S 8x1 + 5x2 = -9…

A: Given  8x1 + 5x2 = -9 7x1 + 5x2 = -11 Put x1 = x  and x2 = y

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

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Q: Find the adjoint of the matrix.

A: Consider the given matrix as

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: Find the matrix of the quadratic form. Assume x is in R2. a. 5 x12+ 16x1x2 – 5x22 b. 2x1x2

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Q: Show that the elementary row operations

A: To prove that the elementary  row operations               Ei+λEj⇒Ei           and           Ei⇔Ej

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

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Q: Find the matrix of the quadratic form 2x1? + 3x22 – x3? – 4x1x2 + 2 x1x3 + 6x2x3 2 -1] 2 -2 1 (a) 2…

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Q: Consider the matrix 2 2 A = 1 3 -1 -1 -2

A: Matrix power is obtained by multiplication matrix by itself 'n' times. For  A3 we have to multiply…

Q: Multiply matrix rs 31 by L-3 -2) 5

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Q: Find the least squares solution of the system below

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Q: Q1- Solve the linear system using Inverse matrix method 5x1 + 4x2 = 13 2x1 - 3x2 = -4

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Q: Find the matrix of the quadratic form. Assume x is in R3. a. 3x12 + 2 x22 – 5 x31 - 6x1x2 + 8x1x3 -…

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Q: 1 -2 3 -2 1 2 -4 -2 4. 4,

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Q: Find inverse of matrix A by using elementary row operations where 1 - 2 A = 1 - 2 | -5 -1 3.

A: # We are entitled to solve one question at a time, please resubmit the other question if you wish to…

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: 5. Use the inverse of the matrix [32¹] to solve the system 3x1 x2 = 9 3x1₁+ 2x2=1

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Q: Find the matrix of the quadratic form associated with the equation. 20x2 - 10xy + 20y² – 80 = 0 A =

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Q: Use the inverse of the coefficient matrix to solve the system of equations (3x₁4x2 = -22, (5x₁ + 3x₂…

A: Solution :

Q: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

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Q: 0 0 -3 2 1 0 2 6 A = -4 3 –1

A: Find the row reduced echelon form

Q: Solve using an augmented matrix. 2x1 + x2 = 4.x1 – x2 = -7 1

A: The given system of equation is -  2x1 + x2 = 14x1 - x2 = -7 We will first change the given system…

Q: Write the augmented matrix of the system {51x+48z=1 {2x+7y=-1 {59x+61y=7

A: Augmented matrix: 1.Align the variables of the all equation. 2 then write the coefficient  as zero…