Give an example of a 2 x 2 matrix A such that im(A) =ker(A). %3D

Q: State the quadratic form of a general multivariate function in two variables and give the matrix…

A:

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

A:

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: Diagonalize the matrix 1 0 -1 A = -2 3 -1 -2 0 2 In other words, you need to find a diagonal matrix…

A:

Q: The adjoint of the matrix (−3−2−1−1) is

A:

Q: The transpose of a square matrix is

A:

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

A:

Q: find an LU factorization of the given matrix.

A:

Q: Determine the cofactor of a32 in the matrix. 6 -2 A =9 1 8. -2 00

A: The given matrix is:

Q: 1 What value of x satisfies the matrix equation -2

A: Number of Multiple questions as per our company guidelines we are supposed to answer only first…

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

A:

Q: A symmetric matrix A is positive def

A:

Q: find an LU factorization of the given matrix.

A:

Q: 9. A = -2 2

A:

Q: Find a 3 x 3 matrix A such that 1 -5 A 3 A 1 -3 and -2 A 4 1 -5 A = 3. ||

A:

Q: Matrix A: 1 3 4 6.

A:

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: Find a non-zero, two-by-two matrix such that: 6 -7 0 0 -30 35 0 0

A: Nonzero matrix and it's multiplication

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 x such that the matrix is equal to its own inverse. A = -2 -5

A: Topic = Matrices

Q: Find A of the matrix 1- A = 2. -4 2. 1.

A: The inverse of the matrix A of order n is defined as a matrix B of order n such that AB=BA=I, where…

Q: Let A be a 4 × 4 real symmetric matrix witheigenvaluesλ1 = 1, λ2 = λ3 = λ4 = 0 What type of matrix…

A: Given, A is a 4×4 real symmetric matrix with eigenvalues 1, 0, 0, 0. Now we have to find what is the…

Q: Find values for the variables so that the matrices are equal.

A:

Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

A:

Q: Diaganolize the following matrix. 0 0 -1 -1 0 0 3

A:

Q: Find a fundamental matrix for the system = (; 3)* -2' x'(t) : 2 -2

A: x't=3-22-2x   Let A=3-22-2 Characteristic equation of A is given by  λ2-trAλ+detA=0 where trA is the…

Q: Give an example showing that the rank of the product of two matrices can be less than the rank of…

A:

Q: Find the adjoint of square matrix (A] [A] = 3 -2 3 -4

A:

Q: An identity matrix is represented by.... а. Нн-1 b. HH-1H O c. H-1H

A: Given problem:-

Q: Find a non-zero, 2 x 2 matrix such that: -5 -5 25

A: Solution

Q: Find the inverse of the elementary matrix.

A:

Q: . If A= is a symmetric matrix, find the value of x. -x+3 4

A:

Q: Determine whether the matrix is symmetric, skew-symmetric, or neither. A square matrix is…

A:

Q: If A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent.

A: In A is a 3 X 5 matrix, explain why the columns of A must be linearly dependent. You have 5 column…

Q: If A = 1 y and the transpose of the matrix is equal to the inverse of the matrix then y =

A:

Q: Find all values of a such that A3 = 2A, where   (see image of matrix)

A: Consider the given matrix,

Q: Find an LU factorization of the matrix A (with L unit lower triangular). 4 A = - 4 3 L = U =

A: Given that, A = LU

Q: If possible, find a single matrix equal to the fo -2 9 (a) 5

A:

Q: 9. A = -2 2

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: Find the trace of the matrix A =

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: 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: Give an example of  a matrix which is its own inverse ( that is , where A^-1=A)

A: We have to give an example of  a matrix which is its own inverse where A-1=A take A-1 on other…

Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.