singular value decomposition of the matrix A. 17) A-[4 40-4 A= -41 44

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: Give the rank and the nullity of the matrix. - [3 3] rank(A) nullity(A) A = = = 10-1 3 3

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Q: 2.) What system of equations is represented by the matrix equation? [2 7 9 %3D 5 -3 -11

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Q: Determine which matrices are in reduced echelon form and which others are only in echelon form. 0 0…

A: A matrix is said to be in row echelon form if All rows consisting of only zeroes are at the bottom.…

Q: Determine whether the matrix is in echelon form, reduced echelon form, or neither. 16 5-7 0 1 -4 -1…

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Q: Transpose of a Matrix 2-4 B = C= NY -5 1 2 -1 8 3 -1 7 6-9 6 -9 5

A: The given matrices

Q: 2 -4 6 8 Use the indicated row operation to transform 4 15 1 - 419 Interchange R2 and R3. ... The…

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Q: - 10 -20 Let A = 10 22 -10 Find an orthogonal matrix P and a diagonal matrix D such that D= p" AP.…

A: Hope you know how to find eigenvalues and eigenvectors of a matrix. I am not showing the steps to…

Q: 3.Define the rank and nullity of a matrix . Find the rank and nullity of the mat 1 - 1 3 2 -2 A = -3…

A: Given,

Q: -2 1 2 1

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Q: 2 Discuss whether the matrix A 1 2 0 is diagonalizable or not. -3 5 2 ||

A: A matrix is said to diagonalizable if for every eigen value's algebraic multiplicity is equal to its…

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

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Q: Carry out row operations to reduce th matrix upper triangular form 2 -1 4 4 -1 -6 8 -2 3.

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Q: 26 6 . Find the row-echelon form of a matrix B= 0 0 -1 258

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We have to write the vector v=3, 6, 6, -3, 1 as the linear combination of the vectors u1, u2, u3, u4…

Q: 1-3 30 1 -4 30 Which of the following is the row-reduced Echelon matrix (siEm) form of the matrix?…

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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: Diagonalize the matrix -3 9 A = -6 18 8 16 6 -18 -16] by writing it as A = PDP-¹

A: Solution:Given that, the matrix A = -398-618166-18-16Now diagonalize the matrix A:

Q: Show that the matrix A = singular. 1 -2 3 4 0 5 0 is 60

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Q: Use a graphing utility with matrix capabilities to find the following, where u = (1, -3, 2, 1), v =…

A: Solution

Q: 1- Foi the following matrices present which are in tow-echelon form and not in row-echelon form. 4.…

A: We have to identify which of the  matrices is of row echelon firm and which are  not

Q: Diagonalize the matrix, if possible. Enter "DNE" (without quotes) in each of the answerboxes if the…

A: The given problem is to check whether the matrix A is diagonalizable or not.

Q: -3 4 0 3 2 1 -1 3 о 1 -1 0 0 0 5 0 0 0 0 4 der the matrix A = 1 3 8. 1.

A: In this question, the following conditions are checked. Lower triangular matrix. Diagonalizable.…

Q: A is a matrix of size 2x4, B is a matrix of size 3×2 Cis a matrix of size 2×4 D is a matrix of size…

A: Given: So, BT is a matrix of size 2x3, CT is a matrix of size 4x2, and DT is a matrix of size 3x4.…

Q: 1 0 0] [5 -5 A few terms from the given LU factorization of A are missing. Find them. -9 1 0 16 b 0…

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Q: 1 4 5 Let A = 8 8a -6 . If a = -1 then the rank of a matrix a |1+a? 8a+4 2a+21 A is

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