7. Consider the matrix 1 12 4 2 4 10 16 5 9 27 41 3-3-2 4 Compute the LU decomposition of matrix A. Compute the determinant of matrix A. (957256521) A

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Q: Suppose that an n× n matrix A has a QR-decomposition where 1 -2 0 0 R = 0 1_1 0 -2 What is the…

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Q: "he determinant of the matrix 1 1 2 3 4 5 6 7 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 A = |1 2 3 4 5 6 7…

A: Here since the columns of matrix A is linearly dependent

Q: Use Gauss' method to find the determinant of the matrix B = 0 0 1 0 0 -4 0 -4 8 4 2522 -3 - 2 ONA A…

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Q: sin x COS X [ COS X - sin x

A: Answer and explanation is given below..

Q: Suppose that an nxn matrix A has a QR-decomposition where

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Q: Consider the bases of R2 B1={(1,0),(1,3)} B2={(0,1),(1,1)} E={(1,0),(0,1)} Correspond M(Id)_B1_E (a…

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Q: 2. Let (r x s) denote an r x s matrix. Find the size of those matrix products that are defined. а)…

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Q: Let B=(b₁,b₂), C=(C₁,C₂), be bases for R² b₁ = (-5,-3), b₂ =(3,2), C₁=(1,3), C₂ = (1,2) Find the…

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Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

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Q: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

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Q: 1 -4-2) s) Let A := -2 3 2 4 -8-5 (a) Show that A is diagonalizable and find a nonsingular P such…

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Q: Consider A = 21 2 1 3 -1 -3 4 Convert A to an upper triangular matrix U by using Gaussian…

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Q: 1 4 [-1 Form the Matrix Ak? 3.Let Matrix A = 2 3 and k be any scalar b = -4. -3]

A: We need to find Ak.

Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

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Q: Compute for determinant of the obtained matrix 14 4 -9 4 -10 10 -9 10 -8

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Q: Q1:A/ Put the following program in matrix standard form Min (z) = 20x₁+22x2 S.T. 2x1+4x₂ <150…

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Q: Explain why for any matrix A, AA' exists and prove that AA' is a symmetric matrix

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Q: 4. Is the matrix A = 0 -1 2 ده 1 diagonalizable? If so, find its diagonal form. ول دت سه

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Q: Problem 1. (1)Compute the determinant of the following matrix: 5-7 0 3 0 -2 200 400 0 600 5-80-300…

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Q: 3x + 2y + 7z = 4 2x + 3y + z = 5 3x + 4y + z = 7

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

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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: 04 * Consider two invertible matrices A and B. Which one of the following is equal to A(AB)-¹B?…

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Q: show that matrix  0   1      does not have LU factorization.                             1   0

A: Use the condition for the matrix to have a LU factorization.