a If b + 0,orthogonally diagonalize A %3D a

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?. a. 3x - 8x,x2 + 2x3 b. 5x, + 18x,x2

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Q: Quèstion 16 Every square matrix has an LU-decomposition. True False

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Q: Determine whether the matrix is reduced or not reduced. [:] 1 0 0 1 Is the matrix reduced? O Yes O…

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Q: [2 3 4 A = 13 | من بن 2]

A: Tje solution is given in the next step.

Q: points through the line y = x. Find the standard matrix A for T. -sqrt2/2 -sqrt2/2 A = sqrt2/2…

A: Given T : R² → R be the linear transformation that first rotates points clockwise through 45° (π/4…

Q: lb Given a 3 × 3 matrix in terms of a scalar e and that det(A) = 8 , find the value(s) of c if -1 3…

A: Since you have asked multiple question, we will solve any one question for you. If you want any…

Q: The matrix a 9. U = 0 d must 0 f have linearly dependent 0. columns if f = 0 b = c= 0 e = 0 %3D a =…

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Q: EXER 3.1 Find a symmetric matrix E (E = ET) and a skew-symmetric Justify all parts of the solution.…

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Q: x – 2y = 2 2x – 4y – z = 4 3x – 6y = 6 %3D

A: First write augmented matrix and apply row operation to change in echelon form

Q: Ql: By using matrix inverse method. Find the value of x and y in term of z. 2X + Y-Z 3 X-3Y+2Z-1

A: Let us determine the values of X and Y in terms of Z using matrix inverse method in the next steps.

Q: Rewrite the simultaneous linear equations above b. Hence, calculate the inverse of the above matrix.…

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Q: Зх — Зу — 6z %3D -3 2х — 2у — 4z 3D 10 2х + Зу + z % 7

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Q: Q3. Diagonalise the matrix [A]. - 5 -6 6. [A]= -9 -8 12 -12 -12 16

A: To diagonalize a matrix. The following steps are to be followed. To find the characteristic…

Q: The rank (i.e., the number of pivots) of the matrix 4 1 2 1 2 1 1 0 0 1 2 -1 0 0 2 1 1 1 2 2 8 1 2.

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Q: (c) Using matrices, find the images of the points (1,7), (-4,5) and (8,2) under a translation of +6…

A: Write the matrix as x and y coordinate. Then proceed  xy = 1-48752

Q: , and c

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

Q: [1 0 2] 1 2 is diagonalizable. Justify your answer. 0 0 0 9. Determine if the matrix A = 1

A: If minimal polynomial having a repeated roots then that matrix is not diagonalzible.

Q: R2 → R3 first performs horizontal shear that transforms e2 into e2 -  2 e1 and then reflects points…

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Q: Express Ac as a linear combination of the columns of A.

A: Given A=2-34-1235-1-2   C=214

Q: Find the characteristics roots of the matrix 2 A =| 1 2. 2.

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Q: a) ir(A - 1)1- ( -2) %3D Find the matrix A

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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: Determine if the columns of the matrix span `R^{4}`. Give your arguments.

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Q: Write the augmented matrix form: a + 2b +c + d = 1 a - af – b + c - cf + 3d – df + ef2 +ef -2e – f²…

A: Given: The system of equations, a+2b+c+d=1 a-af-b+c-cf+3d-df+ef2+ef-2e-f2=-1 2a+4b+3c+3d-f=3…

Q: Use the adjoint method to determine the inverse of the coefficient matrix given by [2 3 1 A=3 4 1 l3…

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Q: Par+ 1 Let A be square matrix and C= A-A, then Cis symetric True False ?

A: Part 1- Given-  If, A be a square matrix and C=A-AT, then C is symmetric matrix. To Check- If the…

Q: a b Find all 2x2 matrices that commute with A=| ос)

A: if B matrix commute with A then AB = BA

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: b) Find inverse of a matrix B = |3 8. 7 using elemetary row operations.

A: Given: B=121387279 To find inverse of matrix B using elementary operation

Q: Find the value of c that makes matrix A= defective Select one: а. 1 b. -2 C. 0 d. 2

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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: Choose the correct:  If A is square matrix such that              A2= A, then (I + A)³ – 7 A is…

A: Given that, A is a square matrix

Q: The rank (i.e., the number of pivots) of the matrix 4 1 2 2 1 1 1 1 1 0 1 2 -1 0 0 2 ] 1 2 2 8 1 2

A: We have to find the rank of the matrix.…

Q: b7 c d x A = j g _e f] a If then size of matrix A: %3D

A: Here we find size of Matrix A ?

Q: Let A be 3x3 matrix where det(-A) = 2 2007 let B =030 Then det(A BAB) = L004 Answer:

A: Properties of determinant: det(-A)=-det(A)det(A-1)=1det(A)det(AB)=det(A)·det(B)det(An)=(det(A))n If…

Q: rue or false The linear transformation of vectors to Xa = 0 has many solutions if matrix X is less…

A: We know a system of linear equations Ax=b has infinitely many solution if Rank[A:b]=Rank[A]<n…

Q: x+y+z 2 y - 3z = 1 %3D 2x +y+ 5z = 0 %3D

A: Given system x+y+z=2y-3z=12x+y+5z=0

Q: Consider the matrix

A: Given, the matrix                    A=1-101-1121-141-10-112-2042-282-2

Q: Find the change-of-coordinates matrix from B to C. Find [x]c for x = - 2b, +4b2. Use part (a). %3D

A: Transition matrix

Q: 1 2 5 203 5 3 4 (a) Write down the quadratic form corresponding to the matrix A =

A:

Q: -2 A = C = (1) Find a matrix B such that AB = C. B = (2) Find a matrix D such that DA = C. D =

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Q: a b а в Consider the matrices A = and B = %3D c d Show how you use the dot product definition to…

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Q: Find the adjoint of square matrix [A] 2 [A] = 3 -4 -2 I5 3 1

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Q: Find Ay and Bx. Are the products Ax and By defined?Explain your answer?

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Q: d. Is A diagonalizable? Explain your answer.

A: Data given A 3*3 matrix is given Calculate Whether given matrix A Is diagonalizable Or not.  Eigen…

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

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Q: Q5. Diagonalise the matrix [A]. 4 3 3 [A] 3. 6. 1 %3D .3 1 6.

A: