Suppose that we use the LU-decomposition of a matrix A as displayed below to solve Ax = b in two steps. 1 -1 3. 1 A = -2 and b = -2 4 1 4 What is the result of the first step? Enter the cgordinates of your answer separated by commas.

Q: Consider the following matrix 14 -1 -3 2 7 1 -2 A = 1 0 3 2 -3 -5 Find an LU-factorization of A. A…

A: 2.(b) Given matrix is                                                    A=14-1-3271-21035-12-3-5

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 characteristic equation of the matrix by inspection. 4 2] -6 0 0 6 0 0 5] 4 -9 LO

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Q: Find the characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Suppose that A (A, then det(B)- Select one: A. 15 OB. 5. OC -15 ODO th ) is a (4 x 4) matrix, where…

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Q: 1. By hand, find the QR factorization of the matrix

A: QR factorization means A = QR Where, Q is an orthogonal matrix with orthogonal columns and R is an…

Q: find an LU factorization of the given matrix.

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

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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: O Show that the secular equation for an arbitrary 2 x 2 matrix ( ) can be solved exactly by a…

A: Please check step 2 for the solution.

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

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Q: Let a matrix '2 -2 1 A 2 3 1 1 -2 - 2 2 Show that A"A = I and deduce that AT = A-1.

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Q: Suppose A is a 5 x 5 nonsingular matrix, and Bis the result of exchanging the second and fourth rows…

A: If a matrix A is non-singular then all the rows and all the columns  of A are linearly independent.

Q: -2 1 2 1

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Q: Suppose A is a 5 x 5 matrix for which det(A) = -3. What is the value of det(2A)? det(2A) =

A: Sol:- Given :- Det(A) = -3 and Dimension of 5 * 5 Matrix

Q: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

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Q: Find a matrix A to safisty the following equation: -1 (AT – 5 2 3 1

A: to find the inverse of 2*2 matrix, the formula is

Q: 2 if A=| -3 -2 4 and B= 1 ,find the Matrix X such that 3A+4X=5B 1 3

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 - 4 2 - 8 2 - 1 A = 10 8…

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Q: Let A be an m×n matrix such that Ax​=b and Ax​=c each have a solution for some choice of b and c in…

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Q: If A is an nxn matrix and B is obtained from A by performing the following elementary row operations…

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

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: Find the SVD of the matrix: 1 2 34 A = 0 0 0 0

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Q: 2 : Find the inverse of the matrix 1 -1 A = 2 -() 3 1 with using the Cayley-Hamilton theorem.

A: The Cayley Hamilton theorem states that every square matrix satisfies its characteristic equation.…

Q: FInd the Solution by Considering Attachment.

A: The method of mathematical induction can be followed to prove above result. Now, The given matrix is…

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: Let A be the matrix a- [}] 3 1 A = Which answer is correct for the A ?

A: GivenA=3121

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

A: Sol

Q: Verify by direct calculation that the matrix -2 -3 -1 A = 1 %3D 3. 3. satisfies the Cayley-Hamilton…

A: by cayley Hamilton theorem , " matrix satisfied its own characteristic equation " now to satisfied…

Q: m below using LL + = fr+ x+ 4.x, – 2x, = 4 9 = 'xp-+ x7+ of the matrix in a

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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: i. Let A, B; 3x3 order square matrixes, Meets the conditions BA=A3 & A3 – 2AB = 1 Prove that A is…

A: Given that A, B; 3×3 order square matrixes, meets the conditions BA=A3 & A3-2AB=I.…

Q: If you multiply this elementary matrix: [1 0 0 0] 0 1 0 0 0 0 1 0 E 0 0 0 2 by A to form EA, it has…

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Q: Let A =mnd B- then the matrix (2AB + A")" is equal to O None of these O equal to the above 2 17

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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: of the following Is the fundamental solution matrix for the coefficient i ? 1

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Q: If 4 [a] is a 3x3 matrix, such that ay i (2m-j) then the diagonal elements are

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Q: Let A and B 5 Find the (1,2)-entry of matrix X 3 -3 given that AX+X=B. 9 3 -1 ||

A: follow netx step

Q: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

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Q: .

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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: If A is what a matrix satis fying A3= A about det A7 %3D can you say

A: We have to find determinants

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: Decide whether the following statement is true or false. Here A is an n × n matrix. If the equation…

A: To find whether the given statement is true or false

Q: Suppose that A is an n × n matrix satisfying the equation A4 + 2A2 − 3A − I = O , where I is the…

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Q: Determine the Lower-Upper Decomposition of the matrix A: 3 7 -2 A = 5 1 4 a, represents ith row and…

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Q: 2) Consider the matrices A = 1 D = [ ] B = K1 = 6 1, K2 = L10 2 [5 l10 2. Solve AX + BY = K1 CX + DY…

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Q: Let A be a square matrix and det(A) = 2. If B is the matrix that results when –7 times the first row…

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