Consider the system -()* 2 -5 (a) Find a fundamental matrix V(t).

Q: Consider the system Ux + 4uy = -2vy 2uy + 4vy = -Vx 1- Write this system in vector matrix form

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Find an SVD of the matrix. -6 5 A = 0 6

A: We have to general eigenvalue and eigenvectors to find Singular Value Decomposition of matrix A We…

Q: Give an example of a 4 x 4 matrix that is symmetric, has with the (2,4)-entry equal to -5, and has…

A:

Q: Give an example of a 3 x 3 skew-symmetric matrix A that is not diagonal. A =

A:

Q: Explain the conditions, how to find a fundamental matrix for the system?

A:

Q: Find the spectral decomposition of the matrix 可

A:

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

A:

Q: 32. Construct a nondiagonal 2 x 2 matrix that is diagonalizable but not invertible.

A: .

Q: 星 Find a singular value decomposition of the matrix A. 港 -1 要 A = - %3D -1 星 里

A:

Q: The 2 ´ 2 identity matrix is:

A: To find:

Q: Find a sequence of elementary matrices whose product is the given nonsingular matrix.

A:

Q: 3. Let A [1.1 -0.1] [0.3 0.7 0.7] Is matrix A invertible? How do you know?

A: An invertible matric is a matrix  for which matrix inversion operation exists . A matrix is said to…

Q: Find a fundamental matrix for the system (3) x′=(1141)x.

A:

Q: Find a sequence of elementary matrices whose product is the nonsingular matrix

A: Consider the given nonsingular matrix: Here the objective is to find the elementary matrix whose…

Q: Disprove that the rank of a matrix is equal to the number of nonzero rows.

A:

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

A:

Q: -2 1 2 1

A:

Q: Find (a) a basis for the row space and (b) the rank of the matrix. [0  1 −2]

A:

Q: What does it mean to say that A is a matrix with dimension m x n?

A: Our Aim is to tell that what is meant by a matrix A which is havingdimension m×n.

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

A:

Q: Find ∣A−1∣ for the matrix

A:

Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the…

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: 3. Find all matrices which satisfy the matrix equation (::)(; })-(; :)(::)

A: Here,

Q: For what values of λ ∈ R is the matrix invertible

A: The matrix A is invertible if and only if its determinant is non-zero.

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: 2. Determine the matrix X, such that:

A: Solution:-

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 a 2 x 2 matrix such that 5 1 1 0 2 1

A:

Q: For the linear system -5 y' = Find the eigenvalues and eigenvectors for the coefficient matrix. A1 =…

A:

Q: Find the augmented matrices of th e linear systems x - y = 0 ,2x+y=3

A:

Q: hat is the matrix for

A: Given, consider the two-tank system shown below. Each of the two tanks contains 200 gallons of water…

Q: Find the fundamental matrix of the system using Putzer algorithem -1

A: Given  X'=11121-10-11X X' = AX Here A=11121-10-11 Now find the eigenvalues, A-λI= 1-λ1121-λ-10-11-λ…

Q: Let A be any n x n matrix. Consider the system Aa = b of n-equations with n-unknowns. Is it true or…

A: We have to check wheather it is true

Q: How can we determine the cofactor for each element in a matrix?

A: Query- How can we determine the cofactor for each element in a matrix? Answer-  The first step…

Q: Find a matrix P that diagonalizes 1 0 0

A:

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

A:

Q: 1. Transform x + 3x" +x' – 5x = x²e' into an equivalent first order system of differenti equations.…

A: To find - Transform x4 + 3x'' + x' - 5x = x2et into an equivalent first order system of differential…

Q: Let A be an m xn matrix. Explain why the matrix ATA is symmetric.

A: A square matrix is symmetric if  A^T = A

Q: 6 X1 -1 -5 X2 II

A: Let us consider the system of differential equation X'=AX then the solution of system of equation is…

Q: 1- the rank of the matrix A.

A:

Q: Consider the matrix 2 1 A 1 -2 2 1 -2 2 | (a) Is A symmetric? Why or why not? (b) Is A orthogonal?…

A:

Q: Give an example of a 4 by 4 matrix A, which is not symmetric, however A is symmetric.

A: A square matrix is said to be symmetric if it is symmetric about the main diagonal.

Q: Assume a national income model Y = C + I0 + G0 C = a + bY where Y and C are endogenous to the…

A: to solve the system

Q: 8. Consider a linear system whose augmented matrix is of the form 2. 4 -2 For what values of a will…

A: The solution is given as

Q: Give an example of a nonzero 3 x 3 diagonal matrix A. A =

A: Diagonal Matrix: In linear algebra, a diagonal matrix is a matrix in which the entries outside the…

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: Find x such that the matrix is singular. A = -3 -6

A: