Q3 (b): Find an LU decomposition of the matrix -6 31 -7 2 A =

Q: Find the LU decomposition of the following system of equation and then find the solution (x1, X2,…

A: Given system of equations can be written as Ax=b where x=x1x2x3 ; b=25-3and A43-5-2-45880.We have to…

Q: A is a 5x6 matrix, the range of transformation x->Ax must be IR^5. Is this true or False?

A: The answer is False.

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 characteristic equation of the matrix: 4 C = 2 -2 2.

A: Characteristic equation of the matrix C is given by  det ( C - λI ) = 0

Q: Perform the elementary row operation -2R, +R,→R, on the given matrix. 1 2 3 0 -6 -2 Resulting…

A:

Q: Find the LU factorization (Decomposition) of Matrix [-2 2 2 -4 -2 -3 -21

A: According to Doolittle's LU decomposition method: A=LU where L=100a10bc1 U=def0gh00i

Q: 1. By hand, find the QR factorization of the matrix

A: QR factorization means A = QR Where, Q is an orthogonal matrix with orthogonal columns and R is an…

Q: Determine the values of x, y, z based on the following matrix equation by using LU decomposition…

A: Given matrix equation  1-312-88-63-15xyz=4-29      ......1 This is of the form Ax=b. A can be…

Q: Find the determination of matrix:- 1 B 2

A: Part (A) - Given matrix - A = 215-1031-24Determinant of matrix A - A =…

Q: find an LU factorization of the given matrix.

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Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

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Q: -2 Find the QR-factorization of the matrix A = 1

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Q: Find the cofactors of the matrix -2 - 4 l1 2 3.

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Q: What is the rank of the matrix?

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Q: 8. Identify the factor of the matrix A below using LU decomposition 3 29 218 21 12

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Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

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Q: Example: find the LU decomposition of the matrix A [2 A = 1 12 -1 2 -2 -1.

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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: Find the characteristics equation of the matrix [1 2 A -2 -1 01 and hence find A-.

A:

Q: Find a matrix B in reduced row echelon form that is rowequivalent to A, using elementary matrices.

A: Given- 2-40013006 To find- Find a matrix B in reduced row echelon form that is row equivalent to A,…

Q: (b) Find the LU factorization of the matrix: 1 -1 A= 3 -4 -2 | 2 -3 -2

A: The given matrix is                                A=1-1-13-4-22-3-2 We have to find the LU…

Q: Find the matrix A of the quadratic form associated with the equation. x2 + y2 - 4 = 0 A =

A:

Q: Q1 (d): Find the rank of the matrix A. 1 0 5 0 1 -2 2 -2 -1 1 -6 3 -2 12 2 -3 0 2

A:

Q: Find the negative of matrix. A] = { 0. [A %3D -3 8

A: Given that, the matrix is A=2045-38. Note that, the negative of the matrix A is -A.

Q: Find an LU decomposition for the coefficient matrix and hence solve the system of equations xị -2x2…

A: We can write the given equation as:  1-231-121-13-613x1x2x3=7-313 The coefficient matrix is:…

Q: Give a 4 x 4 elementary matrix E which will carry out the row operation R2 + 4R1 → R2.

A:

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 - 2xy- 2xz -…

A: The objective is to find the symmetric matrix and diagonal form of the quadratic form…

Q: Find a Singular Value Decomposition of the matrix -3 1 6 -2 | 6 -2

A: Given matrix: A=-316-26-2 ATA=-3661-2-2-316-26-2        =9+36+36-3-12-12-3-12-121+4+4…

Q: Perform the elementary row operation R2 → R3 to matrix B to obtain matrix C. -1 0 0 01 1 2 4 2 -2 A…

A: Our Aim is to perform the elementary row operations R2↔R3 to the matrix given below:-

Q: Find the matrix A of the quadratic form associated with the equation. 2x2 - 3xy - 2y2 + 13 = 0 2…

A: Hi, Thank you for the question. Since you have posted multiple questions as per the rule we will…

Q: Explain the rank of a n*n non-singular matrix?

A: Consider Use the property of rank which states

Q: Find a QR-decomposition of the matrix -1 1 1 -1 0 1

A: Here,             . Now, we will be finding the QR decomposition of the above matrix A.

Q: Find the symmetric matrix that corresponds to the quadratic form q(x, y, z) = 3x² + 4æy – y² + 8xz

A:

Q: In the LU decomposition of the matrix if the diagonal elements of U are both 1, then the lower…

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Q: Reduce the quadratic form x2+y²-9xy into a canonical form of the matrix.

A: The given equation is x2+y2-9xy. The standard equation is ax2+by2+cz2+2fyz+2gzx+2hxy. The…

Q: Find an LU-factorization of the matrix A 2 11 -6 6 4]

A: Given, A=-21-64

Q: Find 2A-l if we have the matrix 2 1

A: A=32102A=232102A=2×32×22×12×02A=6420

Q: 3- Suppose that we have the following system of linear equation in the matrix form, 1 3 x, 14 1 1 -…

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Q: What is the reduced row echelon form of matrix A? A = 어405 ON 11 O- O N

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Q: Use inverse matrices to find the solution of+ System of Sa equatio,

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Q: Q1/ Find the matrix below: -5x+2y-4z=5 3x+5y-2z=0 -2y-8z=3

A:

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

A: Given matrix is A=−23−5232−22−1−61−1−4121. We have to find the LU-factorization of the matrix A. By…

Q: Q6/ Find the detemination of matrix:- 2 1 5 1 B 1 1 2 2

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Q: Determine the Lower-Upper Decomposition of the matrix A: 3 7 -2 A = 5 1 4 a, represents ith row and…

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Q: Find the LU- Factorization of the matrix A below 1 -2 3 A = 2 1 -4 4 1-4 6. 5 -2

A: Given 21-1-20321-441-465-2

Q: What type of transformation is represented by the following 2D matrix?

A:

Q: Find the LU decomposition of the matrix 1 -3 1 7 -24 -8 2 -1 28

A: The given matrix is 172-3-24-11-828. Find the LU decomposition of the given matrix.   In linear…

Q: Reduce the quadratic form 3x2+5y2+3z2-2yz+2zx-2xy into a canonical form of the matrix.

A: Given quadratic form 3x2+5y2+3z2-2yz+2zx-2xy.

Q: 6. Use LU decomposition to determine the matrix inverse for the following system 10x, + 2x2 - X3 =…

A: According to bartleby rule I can solve only first question or first three sub questions of first…