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

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: Let E be the 3×3 matrix that corresponds to the row operation R3=R3+R1

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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. Assume x is in R?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: The 2 x 2 elementary matrix E can be obtained from the identity matrix using the row operation r₁7₁…

A: Given: The matrix A=-552-2. The 2×2 elementary matrix E can be obtained from the identity matrix…

Q: Find the power of A for the matrix A = A19 000o 100 700 o

A: The given matrix A isA=-100000-100000-1000001000001To find the power of matrix A19.

Q: Use the matrices to solve the simultaneous equations given. 3x-4y=12 7x+5y=6.5

A: Given: 3x-4y=12 and 7x+5y=6.5 To find: x and y using matrices

Q: Find the power of A for the matrix A = A12

A: A=100000100000-100000-1000001now…

Q: Use the theory of invertible matrices to solve the following system of equations S 4x1 + 3x2 = 1 5x1…

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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: (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: 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: Find the matrix of the quadratic form. Assume x is in R2. a. 1x21 – 4x1x2 + 5x22 b. 3x21 + 2x1x2

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Q: Use the inverse matrix to find the solution set of 3X+Y+Z=9 X+Y+Z=8 X-Y+Z=-1

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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: (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X2+2X1 = 13 (b)…

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Q: ? 3x1 – 2x3 4x1 х — Xә + хз X1 ? ? ? X2 ? ? ? X3 ||

A: We have to fill the missing entries of the matrix, assuming that the equation holds for all values…

Q: * ( For the matrix shown find (- 3 A 3 - 1 4 1 A = %3D 1 1 6.

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Q: 32x+y -1 526 -1 x+4y 10

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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: 7x + 8y 2 = 46 x - 3y 8z = -53 -2の+y+z=

A: Given the system,   7x+8y-z=46  x-3y-8z=-53-2x+y+z=1 We have to find the x,y,z using Reduced Echelon…

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: fınd the inverse of the matrix A

A: 4404110-130-3161436-1Augment with a 4x4 identity matrix=4404∣ 1000110-1∣ 010030-31∣ 001061436∣…

Q: la) Write the following set of equations in matrix form: 40 = 5x3 + 2x1 10 5x2 = X3 3x2 + 8x1 = 20…

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Q: Q3/For the matrix (A) Find the A25 4 -5 A= | 1 -2.

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Q: Use matrices to find the solution set of x +y- 2z = 3 3x – y+z= 5 Зх + 3у - 6z%3D9

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Q: a) Find the matrix of the quadratic form. Assume x is in R³ 2..2.-..2

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Q: For which values of x is the matrix singular? x² 4] 2x 1.

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Q: Find the matrix A if 2e2t et e²t - et e2tet 2e2t - et 3e2t3et 3e2t-3et et-e2t et - e2t 3et - 2e²t

A: To determine the matrix A , firstly I have taken the derivative on both sides then putting t equal…

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

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Q: Q2) Factorize then solve the following matrix (2 -1 1) 4 ()- 3 3 9 =| 45 3 5. \29,

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Q: B) find the transpose of the matrix A C = 3 2

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Q: Find all values of the unknown constants a, b and c in order for the following 3 x 3 matrix A to be…

A: Given,           A= 2a-2b+2c2a+b+c35a+c0-27

Q: Perform the row operation 6R2 + R R, on the matrix below 1-3 2 4 6 8 6R2 +R R 2 1-3 4-68 Enter your…

A: The given matrix is,

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: Write the matrix equation for the following syatem. of equations and Linear also find its solution…

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Q: Find the QR factorization for the matrix A. (Enter sqrt(n) for Vn.) -6 2 A = 3 4 88 R =

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Q: Q2: Find the inverse of the matrix M =

A: The given matrix is: M=-312-1 Formula: The inverse of the matrix A=abcd is: A-1=1ad-bcd-b-ca By the…

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: Find a matrix A to safisty the following equation: 2 3 -1 (АT — 5

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Q: Find the matrix A of the quadratic form associated with the equation.10xy − 10y2 + 4x − 48 = 0

A: The expression ax2 + bxy + cy2 is the quadratic form associated with the quadratic equation ax2 +…

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

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Q: Q2: Given that A = .3 -2 = what is 2(A+ B)" in matrix form? and B

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Q: Perform the row operations on the matrix and write the resulting matrix. Replace R2 by 1/3 R1 + 1/2…

A: Given matrix is

Q: Find the matrix A of the quadratic form associated with the equation. 18xy – 18y2 + 4x – 32 = 0 A =

A: We find A

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

A: Express the quadratic equation2x2+4xy+7x-2y+8=0,in the matrix form xTAx+Kx+f=0,where xTAx is the…

Q: Use row operations to change the matrix to reduced form. 1 1 1 17 2 34 21

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