Find the matrix of the quadratic form 2x12 + 3x22 – x32 + 4x1x2 -2 x1x3 + 6x2x3 2 2 -1 2 -2 1 (a) 2 3 (b) -2 3 3 -1 3 -1] 1 3 -1 2 -2 -1 [2 2 [1 1 | (c) -2 (d) 3 -3 -1 3 -1] -3 -1) O c O b O e.None of these a

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: By using the matrix fundamentals, solve the set of linear equations of: 2x1 + 3x2 - 5x3 = 1 X1 + x2…

A: First write the equation in matrix form AX=B then find determinant of A.. Then fd inverse of A…

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: Write the system of linear equations in the form Ax = b and solve this matrix equation for x. X1 5x2…

A: The given system of linear equations                                                x1-5x2+2x3=-19…

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

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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: Use row operations to change the matrix to reduced form. 10-5 012 00 3 10-5 0 1 2 00 3 0 - 12 0 -12…

A: This question is related to matrix reduction using row operation.

Q: solve the matrix equation for X -1 1 -1 5 7 8. 3 0| X = 4 -3 1 2 -1 3 5 -7 1

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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: 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: Write the system of linear equations in the form Ax = b and solve this matrix equation for x 11 X1 -…

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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: Write the augmented matrix corresponding to the system of equations. 3x1  +  2x2      =  0 x1  −…

A: First we will express the given system in Ax= b form and then transform it to augmented matrix form.…

Q: • Solve the given system of equations below by applying Doolittl decomposition to the coefficient…

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Q: Consider the following system of linear equations for four real variables x1, x2, X3, X4: x2 + x3 –…

A: x2+x3-2x4=-3x1+2x2-x3=22x1+4x2+x3-3x4=-2x1-4x2-7x3-x4=-1011-212-10241-31-4-7-1x1x2x3x4=-32-2-19Let…

Q: Perform the elementary row operation -4R, +R,-→R, on the given matrix. 5 4 1 0 -8 1 -12 Resulting…

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Q: Consider the following. X1 – 2x2 + 3x3 = 3 -X1 + 3x2 2x1 X3 = 2 5x2 + 5x3 (a) Write the system of…

A: Given the equationx1−2x2+3x3=3−x1+3x2−x3=22x1−5x2+5x3=3

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: -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 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: a) Find all solutions of the linear system x1 + 2x2 + 2x3 +x4 = 14 -21 – 2x2 – 3r4 = -4 2x1 + 4.x2 +…

A: (a) The given system of the equations have more number of variables than the number of equations.…

Q: Perform the row operation(s) on the given augmented matrix. R2 = - 2r1 +r2 - 5 3 - 4 - 3 4 - 2 - 1 -…

A: In a matrix each line of entries in a vertical array is called a column of the matrix.Similarly each…

Q: Find the power of A for the matrixA16

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Q: Solve using matrices. 7x+6y = 32, 13. -x+8y = 22

A: We can solve the given equation by using augmented matrix.

Q: Let A = X= 5 -7 -3 -5 and B = 7 5 2-3 7-6 -7 -4 Solve the matrix equation 3X + 3A = B for X. (Type…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

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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 dimension of the matrix. -3-9-5 8-8 -5 0 6 O-3, -9, -5, 8, -8, -5 O 2x 3 O 3x 2

A: Dimension of a matrix is defined by : number of rows × number of columns = m×n. Likewise,…

Q: In the downtown section of Vijayawada two sets of one-way streets intersect. The average hourly…

A: Given: The traffic chart and the quadratic equation 3x12+10x1x2+2x22. To find: (a) Amount of traffic…

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: Consider the following. X1 + x2 - 3x3 = -2 -X1 + 2x2 X1 - x2 + x3 = 7 = 2 (a) Write the system of…

A: (a) The matrix form will be : 11-3-1201-11x1x2x3=-227

Q: Consider the following. ( X1 - 2x2 + 3x3 = -X1 + 3X2 2x, 5x2 + 5x3 X3 = -6 = 17 (a) Write the system…

A: By gauss Jordan method

Q: Solve using Gauss Jordan Elimination on an augmented matrix: 3x1 – 2x2 + 3x3 22 - 3x2 – x3 24 6x1 –…

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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: 1 is equal to -1 The matrix product 4 -2 2 a) 2 -2 2 -2 b) -2 -2 c) -2 2 -2 d) -2 2

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Q: Use row operations to change the matrix to reduced form. 10-3 01 0 0 1 6 0 5 - 20 10-3 01 6 00 5 -20…

A: We have to change the following matrix in reduced form by row operations ; 10-3016005  10-20

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

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Q: Find a square root of the matrix 13 0 18 A = -5 0 -6 - -6 -8 In other words, find a matrix B such…

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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: -x+2y-2z 5 3x-3y+5z = -6 -2x+3y-4z 6 Write the augmented matrix:

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Q: -7 - 1 1 1 +X3 1 9. X1 + X2 -2 -7 -4 -1 -2 The matrix equation is 4. 3. II

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Q: erform the elementary row operation -R2→R, on the given matrix. 4 1 ! 2 -12 -8 -4 Resulting matrix:…

A: Topic:- Matrix operation

Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

A: