(b) Find a real symmetric matrix C of the quadratic form: Q(x1, x2, x3) = x+ 4x3+ 6x3+ 2x1x2 +x2x3+3xx3. %3D

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 A of the quadratic form associated with the equation.x2 − 4xy + y2 − 4 = 0

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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: For matrix A = (4  1)                        (2  3)  if g(X) = X^2 + 4x + 2, what is the answer to…

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Q: Find x such that the matrix is equal to its own inverse. A = -5 -6

A: Given A=6X-5-6

Q: Let A be the coefficient matrix of the system of equations X1 – x2 = -2 8x1 – 7x2 = 0 -7 1° Use the…

A: Here we have,  x1-x2=-28x1-7x2=0 we have to use the inverse of the matrix A-1=-71-81 to find the…

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

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Q: Find inverse of matrix A by using elementary row operations where 1 0 - 2 A = 3 1 -2

A: Consider the provided matrix, A=10-2   31-2   -5-19 Find the inverse of the matrix. First, we write…

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: For the matrix A, find (if possible) a nonsingular matrix P such that P-AP is diagonal. (If not…

A: We have to check whether there exists an invertible matrix P for the matrix A=-500-4-22-20-2  such…

Q: Show that if A is a square matrix that satisfies the equation A2 -2A +I= 0, then A-1 = 2I -A.

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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.

A:

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

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

A:

Q: For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)?

A: Here, matrix is,

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2…

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is:…

Q: Find x such that the matrix is equal to its own inverse. A = -3 -5 X = 6

A: Given,A = A-1AA-1=IAA = IA2 = IA = 5x-3-5

Q: Find the transpose of the matrix.

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Q: For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? (4 ).

A: Here, matrix is,

Q: -9x+7y=3 3x-6y = 5 What is the augmented matrix?

A: As we know that: if the equations ax+by=k1 and cx+dy=k2. then the augmented matrix can be written…

Q: Find the adjoint of the matrix.

A: Consider the given matrix as

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: Consider the matrix below A= 3 -2 4 0 -6 7 a 1 2 -2 1 -3 -4 3 1 2 Find the minor and cofactor of a

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Q: Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: Q3. Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse 5…

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1,x2,x3) = xỉ+4x3+6x3+2x1X2+x2x3+3x1x3.…

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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 symmetric matrix A associated with the given quadratic form. x1x2

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Q: For Exercise, perform the elementary row operations on the matrix. [5 2 -3 6. -4. R1 →R|

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Q: Find x such that the matrix is equal to its own inverse.

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Q: 4 For Exercise, perform the elementary row operations on the matrix A = | 1 5 -3 R3 →R3

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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: For matrix A if g(X) = X² + 4x + 2, what is the answer to g(A)?

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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 the matrix A of the quadratic form associated with the equation. 9x2 - 6xy +9y2 + 24z² - 29 = 0

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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: For matrix A = if g(X) = X2 + 4x + 2, what is the answer to g(A)? %|

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

A: To determine: The symmetric matrix A associated with the given quadratic form. 5 x12 - x22  + 2 x32…

Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

A:

Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

A: