Determine the values of x, y, z based on the following matrix equation by using LU decomposition method. -3 2 -8 -2 -6 3 -15]

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Find the LU decomposition of the following system of equation and then find the solution (x1, X2,…

A: Given system of equations can be written as Ax=b where x=x1x2x3 ; b=25-3and A43-5-2-45880.We have to…

Q: (c) Determine the values of x, y, z based on the following matrix equation by using LU decomposition…

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Q: Give a matrix representation of the quadratic form f(x, y, z) = 4x 2 + 9y2+ 16z 2 − 2xy + 4xz − 6yz…

A: Given: f(x,y,z)=4x2+9y2+16z2-2xy+4xz-6yz             We have to find a matrix representation of the…

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: Find an LUfactorization of the given matrix.

A: Find an LUfactorization of the given matrix.A=2-431

Q: Use LU decomposition to determine the matrix inverse for the following system 10х, + 2х, — хз%3D27…

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Q: Determine the values of x, y, z based on the following matrix equation by using LU decomposition…

A: Given matrix equation  1-312-88-63-15xyz=4-29      ......1 This is of the form Ax=b. A can be…

Q: Find an LUfactorization of the given matrix.

A: Given, To find LU factorization of the given matrix.

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: Find an LUfactorization of the given matrix.

A: Let A=123456879. L and U are the lower triangle matrix and upper triangular matrix respectively. In…

Q: Factorize the matrix into LU decomposition. [0 5 41 A = 5 1 2 1 2 3.

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Q: 4. Find the standard matrix for T where Ta2) =(2x,+x -2,).

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Q: Let A 1B = 5 l, and C-1 = If X is a matrix that satisfies: %3D %3D 2B = Al2 - XC then X is

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Q: Determine the cofactor of a13 in the matrix. 2 -4 A =5 4 4 -4

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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 x and y such that the rank of matrix A is 2. 1 0 a – 1 0 у- 2 г+1 -5 A = 4 x = Ex: 5 Ex: 5 С y…

A: We are using rank nullity theoram  Rank(A) + nulity(A) = number of coloumn in A.

Q: Consider the matrix 3 2 - А — 1 2 1 5 2 - 1 | Use Gaussian Elimination to find the inverse of the…

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Q: Which of the following gives the correct matrix for this homogeneoussystem of equations in reduced…

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Q: Find the symmetric matrix A associated with the given quadratic form. 2x2-3y2-z2-4xy

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Q: [1 2 2 3 1 0 1 1 4 4

A: Given matrix is  123101144find LU factorization of a given matrix

Q: C is a 3x 3 matrix with C11 = C2 = C33 2, all other entries are 0. C'C has an entry of in the 2nd…

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Q: 1 7 A = -2 3 4 -6

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Q: Find the values of x,y, z for the following matrix equation: 3 11 -1 z- 21 2 O x = 3, y = 4, z =1 O…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: 10.3 (a) Solve the following system of equations by LU decomposition without pivoting 8x1 + 4x2 – x3…

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Q: -2 1 2 1

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Q: Consider the matrices A = [₁, B = 3₁ C= ¹), D=1 K₁ = [5], K₂=[₁²2] Solve AX + BY = K₁ CX + DY = K₂…

A: Concept: We have the matrices A=3211 , B=0110 , C=111-1 , D=11-14 Now the matrices X and Y are…

Q: Use the Gauss-Jordan method to find the inverse of the given matrix (if it exists).

A: Given matrix, 210112021

Q: ГО 5 4 5 1 2 2 3] A = [1

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Q: Solve for the values of x and y using LU Decomposition from the given matrix and prove that PA-LU or…

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Q: uz < and u4 at the points P1, P2, P3, and P4, respectively, are given by u2 + u4 + 100+100 4 200 +…

A: A system of equations can be written in the matrix form AX=B, where A is the coefficient matrix, X…

Q: A = 2 - 4 4 -2 6-9 7 -3 -1 -10 18 -7

A: Sol

Q: 2 - matrix A and that h(T) = T? – 2T – 7 -

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Q: 7. Determine, using matrices, if the following system of equations is dependent. If it is dependent,…

A: Given system of equationx+4y-2z=-32x-y+5x=128x+5y+11z=30 converting above system of equation into…

Q: Find the symmetric matrix that corresponds to the quadratic form q(x, y, z) = 3x² + 4æy – y² + 8xz

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Q: Find the matrix A (in terms of B and C) if (3.4T + 4BC )T= 5.4 – 3C A)}(4B"cT + 3C) (B)}(4C"BI- 3C)…

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Q: In what direction does f(x) = 2xy – 7x increase most rapidly at (6, - 2)? %3D V f(6, - 2) = (Type an…

A: Given query is to find the direction of moast repid increament.

Q: Suppose that A is 2x2 matrix with eigenvectors V, which correspond to A, = 3, A2 = 2 respectively.…

A: Given information of 2×2 matrix A:eigenvectors: V1=2-3  correspond to λ1=3  ,…

Q: If A is invertible matrix, then (2AT) %3D (A) 를 (4-1)" (B) 2 (A-1)" (C) 2 (A")-1 (D) 글A-1 (E) AT

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Q: Find Q and R in the matrix factorization 3 2 4 1 -1 QR. %3D [0 0 As usual, Q is an orthogonal matrix…

A: Given

Q: Show that no 2 × 2 matrices A and B exist that satisfy the matrix equation

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Q: Find the minor M12 and cofactor A12 of matrix A. 1 6 A = 3 3 -2 0 1 8.

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Q: Given the matrix 6 0 0 A= 0 2 2 0 2 2 find an orthogonal diagonalization of A: A = QDQ"

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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: Determine LU decomposition and Cholesky LLT factorization of the matrix -1 A = -1 -1 -1 2 where E is…

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Q: Find the LU decomposition of the matrix 1 -3 1 7 -24 -8 2 -1 28

A: The given matrix is 172-3-24-11-828. Find the LU decomposition of the given matrix.   In linear…

Q: Use the Gaussian elimination to find the values of C, C2, C3, C4 in the following matrix equation:…

A: The given matrix equation is…

Q: (b) Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, [1 3.…

A: Given :          A = 13-223001-1   To find the inverse of A. Also, to compute 3A-1.

Q: 3. Find LDU decomposition of the matrix [1 1 1] A = 2 4 3 3 7 6 (а) L 3D (b) D =, (c) U =,

A: Given: A=111243376To find: (a) L=?  (b) D=?   (c)  U=?

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.