Find an LU factorization of the matrix A (with L unit lower triangular). 4 4 -2 12 10 - 4 8 A = 16 10 0 16 4 -4 10 15 U=D (Simplify your answer.)

Q: 4 1 34. The rank of the matrix A = 2 -1 is -7 -14 4 8 -1 (A) 1 (B) 2 (C) 3 (D) 0 (E) 4

A: To find The rank of a given matrix A.

Q: Find the LU factorization of the matrix A, where 3 -5 2 3 2 -2 A = -1 -6 1 -1 -4 1 2 1 2.

A: We know that A = L U where L is the lower triangular matrix and U is the upper triangular matrix.

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: Find x such that the matrix is singular. 4 A = -2 -6

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Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

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Q: rite the third column of the matrix as a linear combination of the first two columns, if possible.…

A: We want to write third column of the matrix in linear combination of first two column of matrix.

Q: Fill in the matrix so that the rank is 1. 9. a 4 A = 18 -9 C d а —

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Q: Determine whether or not the matrix A work. = 2 2 2 222 2 2 2 is diagonalizable. Show all details

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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: hi thank you for your reply when you have put the matrix 135 0 -135,000,-135 0 135 why are the top…

A: Reason is in the image below.

Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: Use row reduction to transform the matrix into RREF 3 6 4 -5 3 -7 8 -5 8 3 -9 12 -9 6 15

A: The given matrix is: 03-664-53-78-5893-912-9615 The RREF is a reduced row echelon form of the matrix…

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: Rewrite the simultaneous linear equations above b. Hence, calculate the inverse of the above matrix.…

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Q: II. Minor and Cofactor 1. Find the cofactor of 6 in matrix D 9 8 4 2 7 -9 3 4 D = -3 2 3 9 3 2 6 8 ㅋ

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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: Describe a method for showing that two matrices are row-equivalent. Are the two matrices below…

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Q: Find the product of the two matrices. Give me two answers at each number letter for the A. and B.A

A: #As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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: 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: DETAILS LARLINALG8 4.1.038. Solve for w where u = (1, 0, 1, -1) and v = (0, -1, 2, 3). w + 3v = -2u…

A: By Bartleby policy I have to solve only first one as these are unrelated problems.These are…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A2, and A3…

A: The given matrix and a vector, and .The objective is to write the vector  as a linear combination of…

Q: Express the column matrix b as a linear combination of the columns of A. (Use A₁, A₂, and A3…

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