Find the symmetric matrix A associated with the given quadratic form.             5x12 -x22 + 2x32 + 2x1x2 -4x1x3 + 4x2x3

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: Write the column matrix b as a linear combination of the columns of A.

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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: Q2: Determine if the columns of the matrix form a linearly independent set. Justify each answer. 1…

A: Determine if the columns of the matrixfrom a linearly independent set1-33-2-37-1201-43

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: Create a matrix. Use a graphing calculator to solve the system using the ref function 3x + 6y – 2z =…

A: consider the given system  3x+6y-2z=-62x+y+4z=19-5x-2y+8z=62 Write the augmented matrix of the given…

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: (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 symmetric matrix A associated with the given quadratic form.

A: x12-x32+8x1x2-6x2x3

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: 9. A = -2 2

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Q: 2 -3 0 A = 5 2 1 -1 1

A: A-1=1|A|(adj. A)=1|A|A11A21A31A12A22A32A13A23A33 where Aij is the cofactor of aij.

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

A: x12-x32+8x1x2-6x2x3

Q: Find the matrix A. [2 -2 1] A 1 13

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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: invert the coefficient matrix to solve the following systems of equation a) 2x1+x2=5     x1+x2=3

A: The following system of equations can be written as . Where A represents the coefficient matrix, X…

Q: Q3/For the matrix (A) Find the A25 4 -51 A= -2.

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Q: Find a formula for the quadratic form that does not use matrices. 2 -5 [ * y ] -5 7 -5 [ x y -5 7

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: Find the adjoint of the matrix.

A: Consider the given matrix as

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

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

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Q: Find x such that the matrix is equal to its own inverse. 7 A = -6 -7 X =

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Q: Find the power of A for the matrixA16

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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: Find a non-zero 2 × 2 matrix such that -5 -1 25

A: Let a 2×2 matrix be: abcd such that: -5-1255 abcd=0000

Q: An identity matrix is represented by.... а. Нн-1 b. HH-1H O c. H-1H

A: Given problem:-

Q: . If A= is a symmetric matrix, find the value of x. -x+3 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: (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. Find all values of a and ß so that the matrix 2 a -1 1 a A =B

A: Introduction: We know that a matrix is positive definite when it is symmetric and determinants of…

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

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Q: Use Gaussian Elimination to carry the following matrix to a REF: 1 -1 2 3 -2 2 -4 -5 1 -1 1 4 2 -2 3…

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Q: Use an inverSe matrix to Solve the given SyStem of epearkons. X, + X2=4 2X, - X2 -14

A: Here the given system is: x1+x2=42x1-x2=14 The system in matrix form can be written as:…

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…