Find an LU factorization of the matrixA (with L unit lower triangular). 2 4 -2 -2 -2 -6 5 3 A= 4 0 14 5 (Simplify your answer.) in 4)

Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

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Q: -3 4 Q4) If: (4) = , and [B] is the matrix result from multiplying raw one 5 -1 3 by 2, and adding…

A: given: A=2-34-47-55-13 and B is the matrix result from multiplying row one by 2, and adding to row…

Q: find an LU factorization of the given matrix.

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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: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

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Q: Suppose that A is a 4 x 4 matrix and that det A = 2. Further suppose that if 2 Bis the matrix formed…

A: It is given that A is 4×4 matrix and det A = 2. By using Cramer's rule the system Ax = b. where A is…

Q: 10) Find 3A + B Use Desmos Matrix or by Hand A = 91 -6 41 B = [ l -7 + %3D

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Q: What is the resulting matrix? ( 2 0 -5 ) * ( 21 -8 -31 )T

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Q: Find the LU factorization of the following matrices without pivoting 1 2 3 a) A=2 5 4 354 1 -1 1 -1…

A: We have to find the LU factorization of the matrix. L is the lower triangular matrix  U is the upper…

Q: 5. Suppose that A is a 5x5 matrix with real entries and det(A)=7. a. What is the det(2A)? b. What is…

A: For any n×n matrix, it can be written that det(kB)=kndet(B) . For two matrices, A and B, it can be…

Q: 7 Find the matrix P that diagonalizes A = 6 and the resulting diagonal matrix D. -3 -2 4 D P = Ex: 5

A: The given matrix is: A=76-3-2

Q: Solve the matrix equation AX = B for X. on: ste A = 1 7 - 33 B = - 2 -2 3

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Q: 12. Find the A-1 and AT for the following matrix A2x2 65 A = 8

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Q: 1. АT 2. В — 2A

A: To find 1.A^T 2.B-2A

Q: 8, a13 -9, a12 = -1, a23 4, a11 = -5, a21 10. %D Write a 2 x 3 matrix A with the following entries:…

A: For a n×m matrix, the number of rows is equal to n and the number of columns is equal to m. The…

Q: Find the elementary matrixE such that EB = A whe 4 4 1 4 4 1 3 -3 8 -6 A = -1 and B = 6 -6 -2 | 8 -6…

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Q: 3) Identify the element in the matrix. [O 2 4 6 X =0 3 6 9 0 48 12 X2,4 =h X3,2 %3D X3,4 %3D

A: NOTE: Refresh your page if you can't see any equations. . the element at the second row and fourth…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -3 3 A = 3 - 3 6 15 18 L =…

A: Topic = Matrix

Q: 6. Suppose that A is a 3 x 4 matrix. а. Is it possible that dim Nul(A) = 0? b. If dim Nul(A) = 1,…

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Q: Find the QR-factorization of the matrix 2 1 A = 1. -1 -1 121 2

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Q: 43. For square matrices A and B, is it true, in general, that (A + B)-1 = A¯1 + B¯!? Explain.

A: Explanation of the answer is as follows

Q: Find the LU factorization of 4 4 -1 4 A = -12 -10 -9 12 16 -7 14 That is, write A LU where Lis a…

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Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 8 A = 16 30

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Q: 3 Given that matrix A = (, and matrix B = 1. From the matrix above, 3 Determine the values of x and…

A: The given matrices A=35-10 and B=x0y1

Q: Find an LU factorization of A = 2 -4 -2 3 6-9-5 8 en coo 4 6 -2 -2 -1 3 3 4 [Note: It will turn out…

A: We have A=2-4-236-9-582-7-394-2-2-1-6334 Apply R2→R2-3R1 (This gives L2,1=3)…

Q: Find matrix A, given that: :) 8. -2 2A-1 10 9.

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by 2 take inverse on…

Q: b) Suppose a 6 × 8 matrix A has four pivot columns. What is the dim (Null A)? Is Col A = R* ?…

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Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: [13] Find a 2×2 matrix A other than the identity matrix for which A (r ר 75 7) -1 [][] 11 -1 1 1 -1

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Q: Find Hessicn matrix ? 2.

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Q: 4. Find the LU factorization of the following matrix (1 1 1V A = 2 3 2 3 8 2

A: according to our company guidelines we can answer first question (if specific is not asked) or only…

Q: 2. Find the LU factorization of the following matrix. 1 1 A = | 1 2 3 1 3 6 /1

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Q: Find the elementary matrix E such that EC = A where [5 4 A = 4 -1 -1 and C = 8 -7 1 4 4 -1 4 12 -23…

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Q: Find an LU factorization of the following matrix (with L unit lower triangular). 1 3 -5 -31 8 4 -1…

A: To find LU factorisation of a square matrix A find a lower triangular matrix L and an upper…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 6 4 A= 12 5

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Q: (2) Let A be 3x3 matrix with 4|| = 4 Find : (a) det(( 3 4 )²(2 4)') ) det( 2 A + 3 adj ( A ))

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Q: Let A be a 7x6 matrix such that Ax O has only the trivial solution. What is the rank of A? O A. 6 О…

A: Use the given information.

Q: If A is 7×9 matrix. what is the smallest possible dimension of N(A)? Select one: а. О 10 b. 7 с. 2…

A: We know that  The largest possible rank of an m by n matrix is the minimum value of m and n. The…

Q: -2 ky For the matrix A 2 if JA| = 0, what is the value of k? 3/

A: C.   -3 D.    Both B and C

Q: 2 5 5 3 2 2

A: Let's find.

Q: 2. Find the LU factorization of the following matrices without pivoting 1 2 3 a) A = 2 5 4 354 1 -1…

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Q: Let A be a 7x6 matrix such that Ax = 0 has only the trivial solution. What is the rank of A? А. 6 В.…

A: We will find the rank of the matrix

Q: C be the matrix defined as a₁ an C = a-1 9₂ az az a a₂ a, a az a4 1 A an an-l an-2 a₁

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Q: 'Find the LU factorization of 2 5 3 A -4 -7 -10 That is, write A = LU where L is a lower triangular…

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Q: Find an LU factorization of the matrix A (with L unit lower triangular). 86 [... 16 8 A =

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Q: Find A2. If A is a square matrix then A2 = AA. Let A = 4.

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