Consider the following LU decomposition of the given matrix: 1 -1 4 5 -3 6 0 0 oT2 1 -1 2 0 a22 U23 Uz4 0 0 a33 U34 2 1 -1 2 21 1 l31 32 1 41 42 l43 10 0 -2 5 -2 6 4 11 -4 B O a44 What is l43? O 2 none of the choices O -2 O-1 O 3

Q: Let A be a 3 x 4 matrix with reduced row echelon form given by [10 5 1 3 --- U = 0 1 1 1 If a₁ find…

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Q: Compute the adjugate of the given matrix, and 3 A= 3 1 1 012 The adjugate of the given matrix is adj…

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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: → Answer the following questions about BV 's, basic solutions, and bfs for this LP. Is there a basic…

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Q: Compute A² 2A + I. 2 0 1 0 -5 0 5 0 2 NOTE: Write the elements of the matrix exactly. A = -(0 A² -…

A: We have to find the value:A2-2A+IWe can simply calculate matrix multiplication and matrix addition

Q: Find the LU factorization of A = -4 5-5 8-614 That is, write A = LU where L is a lower triang with…

A: Introduction: Finding the inverse of a matrix and determining the determinant of a matrix are two…

Q: 1. Find A-¹ using elementary row operation to the augmented matrix. Let A = -2 10 0 0 4 2 -6 -12

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Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: h-2 -4 -2 3 -6+3h -9 -5 8 Decompose the matrix A= -3 -1 6 into L and U matrices by using the method…

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Q: Q14: Create a model using appropriate block to concatenate vertically the matrices A, B, and C…

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Q: 6. Show that (an)neN C R is bounded if and only if lim supn→∞ an < +∞o.

A: To Prove:  ann is bounded sequence if and only if limsupan&lt;+∞.

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent. 2-7 -4 0…

A: Since you have posted a multiple question according to guidelines I will solve first(Q.1) question…

Q: Let the matrix A be given by -11 1. -5 0 2. -1 3

A: Given matrix is 10-11 21-50 1-100 0003 To find:  Minor M11 Cofactor C11

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: 5. Diagonalize the following matrix. 3 B =-3 4 9 0 0 3/

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Q: Determine the dimensions of Nul A and Col A for the matrices. A = 10

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can…

A: we will compute the LU factorization of the given matrix.

Q: Determine whether or not the following sets S of 2 x 2 matrices are linearly independent s- {(; :)…

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Q: Find the LU factorization for following is the matrix L? 2 -4 2 -6 4 -1 5 -27 -5 3 -8 1 -5 -4 1 8 0…

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

A: Sol

Q: 1 2 C= 1 A = 1 -2 3 D = 1 1 1 -1 1 -1 -9 B = 1 1 1 1 2 -1 -1 4 1 find the matrix 2A – 3B + C. Do…

A: Given A = 11-2110B = 11-1111C = 1232-11D = 1-1-9-141

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: Obtain factorizations of the form A = Pt LU for the following matrix. 1 3 4 0 2 6 8 1 -2 1 1 2 1 3 1…

A: The LU decomposition of the given matrix A, in the form   The permutation matrix    is:

Q: ... a 2n a21 22 and B = 1 -2 3 4-0 - (3,3) a mn If a matrix A -(m,n) a a 11 12 a m1 m2 Enter the…

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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: An nxn matrix A is called skew-symmetric if A' = -A. What values of a, b, c, and d now make the…

A: Given matrix:- To find:- An nxn matrix A is called skew-symmetric if AT = -A. What values of a, b,…

Q: Given the following matrices A and B, find elementary matrices E and F such that B = FEA: You can…

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Q: Find the transpose, conjugate and tranjugate of the following matrices: # = √² = 3₁ 2 AT = 1-1 31 7…

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Q: Find the minors and co-factors of C2, C2, C, C3, C23 of the given matrix 7 -12 A = 8 -5 11 -9 -1 -19

A: We know Minor, Mij is the determinant of the matrix obtained by deleting ith row and jth column…

Q: Find an LU factorization of the following matrix (with L unit lower triangular). 1 3 -5 -31 8 4 -1…

A: To find LU factorisation of a square matrix A find a lower triangular matrix L and an upper…