6. Find the matrix of the quadratic form. Assume x is in R³. a. 3x} – 2x3 + 5.x + 4x1x2 – 6x1X3 b. 4x – 2x1x2 + 4x2x3

Q: Show that there is no matrix A E M250x250 with real entries satisfying AAT = -I.

A: Given that A is real ( All entries are real)  square matrix of order 250×250. The trace of any real…

Q: determine of matrix 2х 3x e e 2e 3x 2х Зе Select one: 5x а. е 5x b. 2e 5x С. 5е 5x d. 1/5 e

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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: Express f in matrix notation where f(ū, 7) = 3x1Y1 – 2x2Y2 + 7x2Y2 – 8x2y3 + 4x3Y2 6x3Y3

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Q: all the If matrix D is a 7 x 4 matrix, and the product of matrix D and matrix E, DE, exists, what…

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

A: Solution: Consider the given quadratic form is: 2x2 - 3y2 + z2 - 4xz we know that if ϕ =…

Q: Show that if (x)is a solution of y'- AY where A is 2x2 matrix of real ombers then d = AÐ %3D Maximum…

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Q: Verify that if r < s, then rows rand s of a matrix can be interchanged by performing 2(s - r) - 1…

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Q: Suppose that 4x7 matrix A has 4 lead terms. Then collA ) = IRt aind NIA) = R³

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Q: 2x1- 3x2+ 2x3= 9 3x1- 2x2+ X3 = 4 X1 - 4x2+ 2x3 = 6

A: Given system of linear equations is ,                        2x1-3x2+2x3= 9…

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

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Q: What is a, if A = 2 4 is a singular matrix ? a Simplify (1+x)(1+x²)(1 – x + x?) in descending order…

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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: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: Find the matrixx such that 2A + B + X =0 where 1 2 3 -2 A = %3D 3 4 1 5 Select one: a. -1 -2 -7 13

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

A: x12-x32+8x1x2-6x2x3

Q: Solve by elimination method and matrix inversion               –5x + 3y + z = –15…

A: -5x + 3y + z = -15 ............................. (1) 10x + 2y + 8z = 18 ............................…

Q: 8. Identify the factor of the matrix A below using LU decomposition 3 29 218 21 12

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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: 3. 3 If A is non singular matrix whose mverse 2. Al = fad A.

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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: 5 -1 5 1 6. -1 6 2

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Q: If Ax = ax for nxn matrix A, nx1 matrix x, and a E R, determine a scalar 3 with the property that…

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Q: Suppose matrix A is m×n and B is n×p. If the first row of matrix A is all zeros, what can you say…

A: Explanation:Since matrix A is m×n and matrix B is n×p, the matrix AB will be m×p.In order to get the…

Q: Solve for the value of x2 in the system of equations having the augmented matrix below. 3 -2 1 0] 2…

A: To find the value of x2 using the given augmented matrix.

Q: if A is m xN matrix pivot in every row, then Ax-b has that has a a unique solution for each b in Rm

A: The given question can be solved as shown in step2.

Q: 11. If a and B are the roots of the quadratic 3.x2 - 4x +6 = 0, find the value of (+) -3 12. For…

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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 matrix of the quadratic form associated with the equation. 12x2 - 4xy + 26y² - 56 = 0 I3D

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Q: Suppose A is the 3x3 zero matrix (with all zero entries). Describe the solution set of the equation…

A: We can explain the answer as below

Q: Find the matrix associated with each of the followingquadratic forms: 2x2 + 3y2 + z2 + xy − 2xz +…

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Q: Find the matrix corresponding to the quadratic form Q(x) = x + 2x1x2 + 2x1x3. Is Q positive…

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Q: Solve by matrix inversion:…

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Q: Suppose M is a (3x3) matrix such that the dimension of its column space is 2.Then the rank of M is…

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Q: Solve the matrix by using Cramer's Rule method 2x+5y+2z=10 3x+8y+z=3 2y+5z=1

A: To solve the matrix by using cramers rule method.

Q: Find the augmented matrices of th e linear systems x +5y = -1 , -x + y = -5 ,2x + 4y = 4

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

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Q: 10.Use Cramer's rule to solve the linear system. 3x+ 5y = 8 y+z = 3

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is  the matrix A is

Q: 2. Write the quadratic function f(x,,y;)=-3x; +2x,x, – 3x; – 4x, – 4x, +6 in matrix form as f(x) =…

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Q: Find a 2 × 1 matrix x with entries not all zero such that

A: Given: Ax=3x, where A=2112 let's assume matrix x is x=ab

Q: Suppose A=QR, where Q is m×n and R is n× n. Show that if the columns of A are linearly independent,…

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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: Express the quadratic form as v Av, where A is a symmetric matrix. x² + 3y² + 5z² - 4xy+3yz + 10xz

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Q: O Find the transforma tion matrix that wotates the axis X of a rec tangu lar coor dinale system 60…

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Q: Use the Finite Difference method to write the equation x" + 2x² - 6x = 2, with the boundary…

A: Given the equation  x''+2x'-6x=2x0=0, x9=0

Q: Determine the standard matrix of a reflection in R² in the line 3x1 + 4x2 = 0. %3|

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Q: the matrix correspon ding to the form s elect QLX,,X2, Xq, Xu ) = – 2x1² + 5 x; - 7×3 -4 Xú -6Xi Xz…

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Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: Suppose the above equation is expressed as Ax = b with x = coeffieints of the equations in one…

A: The vector equation is: α21+β13=2025. We need to express it in the form of: A|b and the fill the…

Q: WHe-the syftems of equations as an augmented matrix. 31=- -5x-31+57=-a 7-bx-5y42=- \e

A: to write the augumented matrix we will simply form a 3*3 matrix with co efficients of x,y and z in…