2. -1 4 21 -4 4) Find the LU factorization of the given matrix A= 3

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

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Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

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Q: 6. 5 X•W Compute x using the vectors w = -2 and x =| - 2 - 3 2 (Simplify your answer. Type an…

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Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

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Q: Let (x, y, z) E R³ and the transformation T: R³ → R² be given by T(x, y, z) = (2x + 4y, x + 3y + z).

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Q: 13.) Determine the matrix: s P 6-8 3 ។ -3 the dimension X 10

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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…

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Q: 2. a) Let A = answer. [2]. Find the matrices A² and A³. What can be the matrix A"? Justify your -11

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Q: Factor the matrix from the previous question into A = QAQ", where Q is an orthogonal matrix. [1 A =…

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Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

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Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

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: Find an LU factorization of the matrix A. 3 5) A = 6 24 7 3 6 -5 22

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Q: B) find the transpose of the matrix A C = 3 2

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Q: 5 3 [B] -5 -6 i.e. write A = LU where L is a lower triangular matrix with 1's on the diagonal, and U…

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Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…

Q: Find the LDU factorization of -2 -2 6 4 -15 -10 A = -6 3 -13 -14 -2 14 46 35 That is, write A = LDU…

A: Given A=−2−26425−15−10−63−13−14−2−144635. Find the LDU factorization of A.

Q: 2. (5pts) Find the LU factorization of the following matrix. 1 -3-5 -3 -1 -5 8 A= 4 2 -5-7 -2 -4 7 5

A: Step 1:Step 2:Step 3:Step 4:

Q: Find a P'LU factorization of the given matrix A. (Enter each matrix in the form [[row 1], [row…

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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: 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: Find an LU factorization of the matrix A. 3 -1 3) A- - 18 1 0][ 3 1 A) A= B) A = 10 3 -1 0-3 -6 1 0…

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Q: Let y = and u= 3 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to…

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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.

Q: 2. Find a matrix that projects onto the line / 2x - 5y = 0 and find the projection of 6= (1, -2)…

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Q: 3. Determine the last column so that the resulting matrix is an orthogonal matrix: 1/√2 1/√2 0 1/√6…

A: The given matrix is .To determine the elements of the last column so that the matrix is orthogonal.