What are L and D (the diagonal pivot matrix) for this matrix A? What is U in A = LU and what is the new U in A = LDU? [2 4 8] 0 3 9 7

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 -8 8 -4 A = 8 - 14 11 -5…

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Q: Q3: What 3*3 matrix that will generate Figure2 from Figurel. (1,21 LIRAQIA UC2S)ERSITY (2,5) 2,2)…

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Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4. A = -4 -3 L U

A: We have to find L and U matrix.

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: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 -3 L = U =

A: First, define the matrices L and U . Let, the matrix L be defined as L=10l211 Let the matrix U be…

Q: 5.)Write the aua mented matrix for the syshem X, +2X,-X, tXc =l =マ+ t bulo

A: We have to solve given problem:

Q: Let A be the matrix Compute A50

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Q: Calculate the matrix P, the matrix D, det(P), and the matrix P! Is the matrix A2 diagonalizable?…

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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: Find the LU-factorization of following matrix. 1 2 3 8 14 2 6 13 4 A =

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Q: Find the SVD of matrix A [1 2 3] A= 2 4 5 L3 5 1.

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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: What is the transpose of matrix M=(-1,0,-2)(0,-3,1)?

A: Given -10-20-31

Q: e/ By three ways Show that B= %3D isorthogunal matrix

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Q: find an LU factorization of the given matrix.

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Q: find an LU factorization of the given matrix.

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Q: Find a 2x2 matrix that forms an angle of n/3 cadians with the matrix P -- (: 9) 2 0 0 2

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Q: Compute the indicated power of the matrix.

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Q: What is the rank of the matrix?

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Q: 4 1 2 5 1 3 - 7 2. 6 14 16 11 1

A: The matrix A can be written as the product of a lower triangular and upper triangular matrix . The…

Q: Find the LU factorization of 5 3 A = -15 -5 -5 1 That is, write A = LU where L is a lower triangular…

A: Solution

Q: Let A be 7×9 matrix. Knowing that Rank (A) 3. Then Nullity(A) is equal to: ||

A: Rank nullity theorem Let T:V→W  be a linear transformation on finite dimensional vector spaces over…

Q: 11 A square matrix A is orthogonal if AA" = 1. What properties must be possessed by the columns of…

A: Given:

Q: Solue the syskm of ezuatoins by matrix メナ3y=7 2メ+y=4

A: 1321xy=74 Let 1321 be A , xy be X and 74 be C   AX = CX =A-1CA-1=1Aadj A A-1=-153525-15

Q: Find the characteristic equation of the matrix by inspection. 2 -5 9 6 -3 0 0 4 0 0 8

A: Given that: 2-5960-30000400008 The characteristics equation is given by the formulas, detA-λI=0

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: find an LU factorization of the given matrix.

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Q: Find the innverse of the matrix b: 5 0 6 9 1 2 3 4 9 3 5…

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Q: 1. Find an upper triangular matrix that satisfies A³ = l6 = 6 )

A: An upper triangular matrix is one whose elements below the diagonal are zero. For A3 which is a 2×2…

Q: ГО 5 4 5 1 2 2 3] A = [1

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Q: (2) Suppose B is a 3x3 matrix and that a) Can you tell if B is invertible? Explain ) Can tell if B…

A: Given that B is a 3×3 matrix such that the characteristic equation is λ3-5λ2+6λ. We have to check…

Q: 16- Find k for which the matrix below be Involutary matrix. 4 4 3 3 b) 3. -2, Leave blank *0 ఇ

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Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: 3 2 2 3 1, find the matrix B Such that AB = 5 3 4 3 4 2 1 6 1 5 6 4 , If A = 1

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Q: 4. A matrix A is similar to matrix B, if for some invertible matrix P, B = P'AP. Is B similar to A?

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Q: 2) Find the rank of the matrix A = 2 3 -1 ー1 1- ー2 -4 3. 3 -2 3. By deducing imto Echelon form.

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Q: [2 Given the matrix

A: As per the instructions, we will be solving only the first question. We will be solving 2131xy=21.…

Q: Let matrix A be 2 by 2 matrix and 1 A. 4 and 1 4 .2) 2 Then what is A=? ||

A: At first we will suppose a matrix A as 2x2 matrix and simplfy second condition by pre multiply by A…

Q: 4 Is the matrix a linear combination of the ma- 3 and 1 ? Justify your answer. trices

A: A matrix A can be expresses as a linear combination of two matrices B and C, if and only if there…

Q: 8.) Find the LU-factorization of the following matrix 1 2 2 2 3. 1.

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Q: O If A is possi ble value of dim Nul AT ? Please explain an 8x 5 matrix, what is

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 3 L = U =

A: Given that, A = LU

Q: [2 3 find the invers of matrix A by using the elementary row operation, where A = 5.

A: For finding the inverse of any matrix A, at first we augment it with an identity matrix on the…

Q: 29 What numbera in A-L makes A-QA@ possible (where Qis an orthognael matrix and A is an Zero or 1??

A: We shall solve this question by just using the definition of an orthogonal matrix. We know that a…

Q: Suppose that A is a 18 × 14 matrix that has 10 pivot columns. Then: (1) dim(ColA) is (i) dim(RowA)…

A: NOTE: Refresh your page if you can't see any equations. . the dimension of the matrix is  which the…

Q: Let A be a 5 × 4 matrix. Can the equation Ax=b be consistent for all b in ℝ5 ? Explain, please. Can…

A: Given that, A is a 5×4 matrix. Consider the equation, Ax=b. Here x is a 4×1 matrix with n=4 unknowns…

Q: A and B are two sequar upper triangular matrix then ove that the JAB| is equal the product of its…

A: Topic:- matrix algebra

Q: The aim of elimination steps in Gauss elimination method is to reduce the coefficient matrix to a)…

A: A matrix where the number of rows is equal to the number of columns is said to be a square matrix…