The lower triangular matrix L in the LU decomposition of matrix given below is 25 5 1 0 111 112 113 10 8 l 21 1 0 0 123 8 12 22 131 032 1 0 1133 Fill in the blanks(Round off up to 4 decimal places) a. 121 - b. 131 c.132 4 16 = 0 122 0

Q: 11. 1 2 3 2 6 3 0 6 -6 -1 -2 -9 -1 0 7 0

A: Given: A matrix .To find: An LU factorization of the given matrix.

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A: This is homogeneous linear differential equation.

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A: Given  the given matrix A=1-21-2

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A: Assume such a,b exists and prove by contradiction

Q: Find the LDU factorization of L = That is, write A = LDU where L is a lower triangular matrix with…

A: Given We need to find the LDU factorization of matrix A.

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A: The given matrices are: A=991713-3-45-3-5-7 and B=68-10713991-3-5-7. Since the order of above…

Q: T:R→ R, 上X T2-2x3 C4 VTエA

A: Given that the  transformation :-

Q: Find the LU factorization of A = 10 -15 -21 That is, write A = LU where L is a lower triangular…

A: Given: 55108-15-21

Q: Find the coordinate matrix of x in Rn relative to the standard basis.x = (−6, 12, −4, 9, −8)

A: The given vector is x =  (−6, 12, −4, 9, −8).One has to find the coordinate matrix of x relative to…

Q: Compute an SVD of the matrix. A = - 12 12 - 1 - 8 8 - 9 - 20 - 4 - 15 -24 0 19 21 -3 - 7 -7 -5 =…

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Q: Consider the following LU decomposition of the given matrix: What is 141? O-1 0-2 none of the…

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

A: Sol

Q: Compute an SVD of the matrix. A = 12 - 1 19 - 8 8 - 9 21 - 20 - 4 - 15 -3 -24 0 -7 -5 - 12 What is…

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Q: Copy of Let T be a transformation from R3 to R3 such that T(u)-T(V) where u and v are different…

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Q: Select ALL matrix multiplications that are valid given the following matrices: 1 2 3 2 ·B·-|-·* C =…

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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 bases of the image and kernel of the matrix 1 1 1 A = 201 2 2 0 2 3 2034 204 5

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Q: The matrix A can be written as: 100 0 0T1 0 0500 1 0 10 0 10 1 0 0. 102 A 00 1-4 01 0 0 0 1. 00 1 0…

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Q: Use the reduced echelon form of the matrix A shown below to find the factorization A = CR. 1 2 0 11…

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Q: Students A B C D E F G Grade (x) 84 87 90 91 88 75 91 85 85 90 82 78 GWA (y) 1.75 2.00 3.00 2.75…

A: Solution: From the given information,

Q: Find the LU factorization of A = LU = A = 10 10 1 2 2 0 1 0 0 -5 1 -4 -8 12 2 5 0 0 -4 4 0 -5 2 -13

A: We have to find LU factorization.

Q: 5 43 15 19 15 20 51 44

A: Construct by hand an LU decomposition of the following matrix.

Q: Let A be the 100 by 100 matrix whose i, j entry is (−1)²-¹ + 2/-¹. For example, the top left 3 x 3…

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Q: 3. Matrices and vectors a. Compute the following [2 marks] -5x² + 7y² + 2z² + 2xy + 8xz -6yz -5x² +…

A: Solution:1 Here we have given matrices:xyz-51-3174-342xyz Now multiplying the matrices we…