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

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.

Q: 34 -6 10 14. A = -[-

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Q: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

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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: Find an LU factorization of the matrix A (with Lunit lower triangular). 4 A= 12 2 -0 12 8 4,

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Q: Consider the matrix A= Calculate a31 Calculate 932 755 826 5 2 6 e 9 dh n bf a

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Q: -9 -5 5-2 Multiply: -7 3 9. answer matrix c d 4

A: The multiplication of two matrices is possible if and only if the inner dimensions of both the…

Q: We call a matrix B a square root of A if B2 = A.

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Q: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

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Q: Determine the order of the matrix. 2 5 -4-4 6 1A) 3 × 2 B) 2 × 3 C) 6 D) 3

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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: Find an LU-factorization of the matrix. (Your L matrix must be unit diagonal.) [33] 56 0 LU = 188=

A: The given matrix is A=-71560. The LU-decomposition of a matrix A is factorization of matrix such…

Q: a 3 A= -6 2 2 4

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Q: 2 Consider the matrix below. What is the value of 2a11 – 3a22+ a32 =? - 5 A = (aj) -1 3 -1 b) 4 d)…

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Q: Use the matrix below. Find a 23 A = 00-3 5 6 3 -1 0 44 in matrix A. 2-5

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Q: Find the transpose of the matrix. 4 5. D = -2 -1 -3

A: The transpose of a matrix can be  found by interchanging its rows into columns or columns into rows.…

Q: The rank of the matrix A Number 1 2 3 4 5 6 IS

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Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

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

A: Sol

Q: Let A be a matrix given by 3-6 -1 4 -8 -2 -3 6 3 Find a 3x3 matrix B such that B 0 and AB = 0. A =

A: A=3-6-14-8-2-363 Finding the eigen value of the matrix A A-λI=3-λ-6-14-8-λ-2-36-λ3-λ…

Q: 8 9 11 12

A: matrix A is in dimensions 2*3 Matrix B is in dimensions 3*2 So multiplication of A and B= [AB] [AB]…

Q: 10. Solve the matrix equation. 1 1 6 6 2 1 2 4 A) 4 2 1 -2 10 8 10 1 В) D) -4 -4 -2 -2 10 2 4 00

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Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]

Q: Determine the rank of the matrix. 1 -2 2 -3] 6) 2 -4 7 -2 -3 6 -6 9

A: We have to solve given problem:

Q: v = (5, 2, -12, 13, 6) u, = (1. 2. -3. 4. -1)

A: Given,              v=5, 2, -12, 13, 6u1=1, 2, -3, 4, -1u2=1, 2, 0, 2, 1u3=0, 1, 1, 1, -4u4=2, 1,…

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 ATA for the matrix. Show that this product is symmetric.

A: The transpose of matrix A is,

Q: a: Diagonalize the following matrix, if possible [4 1 3] 3 8 7 12 7 51

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Q: 2. Find the rank of the matrix 1 3 4 5 8 9. 10 11 12 13 14 15 16

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