hat is the matrix for

Q: What is Matrix trace?

A:

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

A: Given problem is :   State the quadratic form of a general multivariate function in two variables…

Q: Let A be an nxn matrix and B= A+ I, where / is the identity matrix, then it is possible for A and B…

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Q: What is the Skew-symmetric matrix?

A:

Q: Find an LUfactorization of the given matrix.

A: Given, To find LU factorization of the given matrix.

Q: Let the matrix below be Anti-symr

A: Anti symmetric matrix is also known as skew symmetric matrix.

Q: Find an LUfactorization of the given matrix.

A: Let A=123456879. L and U are the lower triangle matrix and upper triangular matrix respectively. In…

Q: The 2 ´ 2 identity matrix is:

A: To find:

Q: Are these matrices linearly independent? If not then give a dependence relation. 1 2 2 3

A:

Q: Is it possible for A3 to be an identity matrix without A beinginvertible? Explain.

A: To explain:It is possible for A3 to be an identity matrix without A being invertible.By definition

Q: If A is a rank one matrix, the second row of R is ___ . Do an example.

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Q: If S = A + iB is a Hermitian matrix, are its real and imaginary parts symmetric?

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

A: Null space of a linear transformation: T:V(F)→V'(F) be a linear transformation then the null space…

Q: A symmetric matrix A is positive def

A:

Q: What do you mean by Jacobian matrix ?

A: The Jacobian matrix for the system of differential equation is, dx1dt=f1x1,x2 and dx2dt=f2x1,x2

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

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Q: Why is it important that the matrix is invertible? Give and example.

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Q: Find the covariance matrix of Y, Y2 and Y3

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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 range of a (2 × 3) matrix B with rank(B) = 2

A:

Q: Find the singular values of the given matrix.

A: Given; Matrix A To find: Singular Values of A  Procedure: Calculate eigenvalues of ATA. The…

Q: Find an example of a singular 2 × 2 matrix satisfying A2 = A.

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Q: It exists, Ol the matrix. 1 - 1 2 – 1 1 1 1 2

A: A-1=?

Q: What is 'a', if B as shown below is a singular matrix?

A: A singular matrix is a matrix whose determinant is zero.

Q: * Let A be and m x n matrix. Describe the matrix E such that EA is A with row swapped.

A: Given matrix A is a m×n matrix. And the elementary matrix E and EA are row swapped. Since elementary…

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: Let A be an n × n singular matrix. Then

A: if matrix A is singular that means its determined is zero.so at least one row of matrix A is…

Q: Show that the matrix; is singular

A:

Q: Find the singular values of the given matrix.

A: Given matrix

Q: Which matrix is not similar to

A: Given that Matrix- X= 011112-12114, A=21-121011114,B=01111411-122, C=0-111-12121-14, D=100030003,…

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: What does it mean to say that A is a matrix with dimensionm  n?

A: A matrix is a rectangular array of elements arranged in rows and columns. The size of the matrix is…

Q: True or False: If X(t) is a fundamental matrix for the linear system x′ = Ax, thenX(t)T is a…

A: The given statement is "If X(t) is a fundamental matrix for the linear system x′ = Ax, then X(t)T is…

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: A matrix that is both upper and lower. triangular is called diagonal ylgn ihi

A: Upper and lower triagular matrix

Q: What is the linear combination of the matrices аnd

A: The explanation are as follows

Q: Let A and B be n x n matrices.  Suppose that AB = On where On is a zero matrix of size n x n, and A…

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Q: Find a 2 x 2 matrix such that 5 1 1 0 2 1

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Q: How do you determine the sensitivity for each non zero parameter in this leslie matrix model

A: To determine sensitivity of 2x2 matrix. Let, the 2x2 matrix be a b c d Here,  True positive…

Q: To divide the LHS by a matrix on the RHS, what steps do you follow?

A: To find: To divide the LHS by a matrix on the RHS, what steps do you follow?

Q: Find the augmented matrices of th e linear systems x +5y = -1 , -x + y = -5 ,2x + 4y = 4

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Q: Find x such that the matrix is singular.

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Q: If the ows of a square matrix A are linearly dependent then A is singular

A: To determine whether the given statement is true or false.

Q: The multiplicative identity matrix of order 2 is I2 =_______.

A:

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: 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: Find an LU factorization for the matrix: 1 2 1 2 1 2 -2 0 1

A:

Q: If A is a skew-symmetric matrix then show that AAT = AT A and A² is symmetric. [Note AT denotes the…

A: We will use definition

Q: The aim of elimination steps in Gauss elimination method is to reduce the coefficient matrix to a)…

A: A matrix where the number of rows is equal to the number of columns is said to be a square matrix…