How to make this matrix diagonally dominant?

Q: elementary

A:

Q: What is a matrix?

A: Definition :                           A rectangular array of m × n numbers ( real or…

Q: What is the Skew-symmetric matrix?

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Q: What is mean by Matrix? Define elements matrix?

A: Matrix:- A set of numbers arranged in rows and columns so as to form a rectangular array is called…

Q: Determine whether the matrix is elementary. If it is, state the elementary row operation used to…

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Q: matrix question

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Q: What is zero matrix, explain each entry of which is zero?

A: Given problem:- Explain Zero matrix

Q: Define Triangular matrix ?

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Q: Does the matrix have an inverse? Explain why why not. or

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Q: What is the rank of the matrix?

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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: Define the basic required conditions for matrix multiplication?

A: Let A be a matrix of order mxn and B be a matrix of order pxq.

Q: Can you please help me th

A: Given,              x1=011, x2=2-10, and x3= 10-2 be eigenvectors of A which corresponds to…

Q: Explain row vector in a 1 x n matrix?

A: To analyze row vector in a 1 × n matrix.

Q: What do you mean by transpose of a matrix? Explain their properties?

A:

Q: Consider the matrix

A: Given, the matrix                A=0-3-1020233 And the eigenvalues of A are λ=1, and λ=2.

Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

Q: Find an LU-factorization of the matrix.

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Q: Explain the term symmetric matrix.

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Q: What is a Augmented Matrix?

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Q: How do you know whether a matrix is invertible?

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Q: Illustrate the Skew-symmetric matrix ?

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Q: Is the product of two elementary matrices always elementary? Explain.

A: To check product of two elementary matrices will be elementary or not.

Q: Does matrix multiplication commute? That is, prove why does it. If not, explain why it does not.

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Q: is there any way you could write this on paper? or just write the matrix part on paper

A: We have the system of equations as x1+x2+x3=56x1+7x2-3x3=5

Q: What do 2 × 2 matrices represent graphically?

A: 2 × 2 matrices represent:

Q: Explain the term singular matrix.

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Q: Use (ii) of the rank of a matrix by row reduction theorem to find the rank of the given matrix. (?…

A: The given matrix is 7-113.

Q: the matrix A = and explain why or why not this matrix is diagonalizable

A: In the given question, concept of diagonalizable matrix is applied. Diagonalizable Matrix Any square…

Q: Explain the Main diagonal within a matrix ?

A: The main diagonal within a matrix consists of those elements which lie on the diagonal that runs…

Q: Is the sum of two invertible matrices invertible? Explain why or why not. Illustrate your conclusion…

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Q: describe how LU factorization of a nonsingular matrix B can be found using Doolittle’s method.

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

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Q: How do I know if I can invert a matrix or not? What is a square matrix?

A: Ans(i):

Q: Illustrate Diagonal matrix?

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Q: Explain the general formula for the inverse of a matrix?

A: Given, Explain the general formula for the inverse of a matrix?

Q: Explain the mandatory conditions for the addition of two matrices?

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Q: make the matrix diagonally dominant

A: Diagonally dominant matrix: These are the matrix in which the absolute value of the diagonal element…

Q: Difference between Simple Matrix & Adjecent matrix?

A: A Simple Matrix is just an array of numbers that can broadly be classified to 3 types - Upper…

Q: Matrix multiplication is always commutative? justify it.

A: Matrix multiplication is not always commutative.

Q: What is a row matrix?

A: A matrix having only one row is called a row matrix.For example

Q: What is the Matrix multiplication?

A: Matrix multiplication is the multiplication of two matrices to produce a new matrices. For…

Q: Must an upper triangular matrix be in row-reduced form?

A: A square matrix whose all elements below the main diagonal are zero,  is called an upper…

Q: Construct the adjacency matrix. Why is it a block-diagonal matrix?

A: This is always block diagonal matrix in case of bipartite graph.

Q: (0 8 1 1 4 -1

A:

Q: What is the procedure for obtaining the inverse of a matrix?

A: Given:    Procedure of Inverse Matrix

Q: A matrix which is not a square matrix is called a .6 Matrix

A: 6)  A matrix which is not a square matrix is called a