Explain the term singular matrix.

Q: What is Matrix trace?

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Q: Can a matrix be similar to two different diagonal matrices? Explain.

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Q: What are the three elementary matrix row operations?

A: What are the three elementary matrix row operations?

Q: What is Orthoganal Matrix?

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Q: Define Square matrix?

A: A matrix is the arrangement of data in rows and columns.

Q: matrix question

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Q: Explain the reason, why we factorize real matrix to get singular value decomposition ?

A: To Describe : Why do we factorize real Matrix to get singular value decomposition

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

A: Given problem:- Explain Zero matrix

Q: sorry but I indicate in the question above that its needs to be transformed into a lower triangular…

A: Given matrix is A = 1-13-1402-2110010-20100011-10   Note:- This is not a square matrix so, we can…

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?

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Q: Determine if the statement is true or false. If two matrices are equivalent, then one can be…

A: According to the definition, Two matrices are said to be equivalent if they can be transformed into…

Q: Determine the size of the matrix.

A: Size of matrix is (no of rows × not columns)

Q: Explain why the matrix is not diagonalizable.

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Q: What is a gradient Matrix?

A: we have to define a gradient matrix.

Q: Explain the term symmetric 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: Envision a 2 x 3 matrix.

A: Let A be the matrix with order 2×3, which represents 2 as number of rows and 3 as number of columns.

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: Why is working with orthogonal matrix computationally ecient?

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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: 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: Explain why the matrix is not diagonalizable.

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Q: Explain the term Gradient Matrix?

A: According to the question, we have to explain the term gradient matrix. The term gradient means the…

Q: Explain the term Comparable matrices?

A: Comparable matrices :  Two matrices X & Y are said to be comparable if they have the same…

Q: Can arrowhead matrix be similar to a tridiagonal matrix?

A: An arrowhead matrix is one that is a square matrix with zero entries everywhere except on the…

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: Is it true that Every identity matrix is a diagonal matrix? explain a reason?

A: A square matrix B=[bij] of order n is a diagonal matrix , if all its non-diagonal elements are 0,…

Q: matrix A and an echelon form

A: We have to find out the basis for Col A and a basis for Nul A.

Q: What is the reduced row echelon form of a matrix?

A: A matrix is in reduced row echelon form (also called row canonical form) if it satisfies the…

Q: Can you explain to me what happen if the matrix is not diagonal dominance ?

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Q: Matrix multiplication is always commutative? justify it.

A: Matrix multiplication is not always commutative.

Q: What is the correct matrix elements

A: Given,            A = 12-1283-18-2310-9151612851014319We know that,        A matrix can be written…

Q: What is the row-echelon form of a matrix? What is a leadingentry?

A: What is the row-echelon form of a matrix? What is a leading entry? Row echelon form of a matrix is…

Q: What is meant by Zero matrix?

A: It is known that a matrix whose all the elements are zero is known as null or zero matrix.Moreover,…

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: Can you provide a summary of potential applications for Hermitian Matrices? Please cite any…

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Q: Describe when the multiplication of two matrices is not defined.

A: Given, multiplication of two matrices

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: State the dimension of the matrix.

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Q: Give two examples of a 2 x 2 matrix with no inverse (singular).

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Q: Explain the main conditions need to statisfy before Adding two matrices?

A: Consider two matrix A and B. So two matrix A and B added only if they have the same dimension.