Find the LU factorization of A = and then use it to solve the system -4 -3 3 16 15 -11 8 -6 -8 , such that the matrix L has ones along the diagonal,

Q: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Solve for X in the matrix equation 3X + A = B, 6 and B = -2 -12 4 where A = -5 4

A: Given: 3X+A=BA=46-50B=-2-1241 To Find: To solve the given equation for X

Q: I. Multiply Matrices A and B then validate if the product matrix is matrix C -20 0 4 a.) -7 -3 -2 -1…

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Q: Let A be the matrix Compute A50

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Q: and find matrix Y such that 4 + 2} - 48.

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Q: Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the…

A: AA-1= A-1A = I; where 'I' is the identity matrix.

Q: Find the LU factorization of the matrix: A = 1 2 0 -1 -1 3 4]. 3 -2 -8 2 Show all the steps of your…

A: Answer is given in below stepsExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Solve the dimensions of the matrix

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Q: Use the inverse of a matri:

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: List the pivot columns of matrix A = 1 -4 0 3 1 -9 2 -3 -6

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: Let A = - 3 7 6-1 -3 -6 and B= 0-2 9-6 Solve the matrix equation - 3X + 4A = B for X. -4 -1 X =…

A: To find matrix X

Q: Find the Inverse of Matrix A 6) -3 20 11 A = -6 15 32 3 -12 -19 A = %3D

A: Given A=-32011-615323-12-19

Q: a) Use the inverse of a matrix to solve the linear system: X1 - X2 - X3 = 5 X2 + x3 = -1 . (x1-2x2 -…

A: Dear student you have asked multiple questions. As per our policy your first question will be…

Q: 12 (b) Given D = 2, decode the following message: Message: -1, 4, 30, -41, 39, -58, 22, -33, 31,…

A: Given: The given matrix is D=2-3-12. To find: b) We have to decode the following message: Message:…

Q: 1 Let the matrix A= Find A2 5A + 312x2. - Select one: a.

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Q: -4x – y – 6z = -39 -9x + 7y + 4z = 47 – 7x – 6y + z = -52

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Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

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Q: 8, a13 -9, a12 = -1, a23 4, a11 = -5, a21 10. %D Write a 2 x 3 matrix A with the following entries:…

A: For a n×m matrix, the number of rows is equal to n and the number of columns is equal to m. The…

Q: Determine which of the points (-3, 1, -1), (5, 6, 4), and (6,-3, 3) satisfy the linear system 9x1…

A: Introduction: A collection of equations can be expressed using an expanded vector. Each entry in an…

Q: X1 + 2x2 + X3 3x1 – x2 + 2x3 = = 2 3 %3D X1 – 2x2 + X3

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Q: Write the following system of equations as matrix equations Ax=b and solve the computing A-¹b.…

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

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: If a matrix A is such that, 3A³ + 2A² + 5A + I = 0 then its inverse is?

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Q: Find the matrix A if 2e2t et e²t - et e2tet 2e2t - et 3e2t3et 3e2t-3et et-e2t et - e2t 3et - 2e²t

A: To determine the matrix A , firstly I have taken the derivative on both sides then putting t equal…

Q: Using the matrix notation, write the system of linear equations: 2x1 - X4 5x1 + x2 X3 1 -x + 4x3 +…

A: The given system of linear equations is, 2x1-x4 = -15x1+x2 = 1x3 = 1-x1+4x3+x4 = 0 The objective is…

Q: 2х1 — бх2 — Хз -3x1 – 5x2 8х1 — 2х3 -38 -34 -20 IL || ||

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Q: s this matrix in row-echelon form or reduced row-echelon form

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Q: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

A: A matrix is said to be a diagonalisable  if it is similar to a diagonal matrix. Therefore we need to…

Q: Fill in each matrix for diagonalization of the matrix A = A = PDP-1 3 Ex: 5 30 1 4 -6 19 1 1 IG

A: We have to fill in each matrix for diagonalisable of the matrix.

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

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