cric matrices?

Q: Diagonalize the matrix A 2 -2 if possible. 2 -3

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Q: -31 A= .2 -1

A: Given:                  A=4−32−1

Q: matrix multiplication is valid f

A: The matrix multiplication depends on their dimension. the dimension property of the matrix is The…

Q: What is Orthoganal Matrix?

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Q: Define matrix notation and terminology?

A: Matrix notation and terminology.

Q: What is a matrix?

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

Q: State Triangular matrix?

A: A triangular matrix is a special type of square matrix. It is of two types: Upper triangular matrix…

Q: 1 2 0 1 2 3

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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: Define Square matrix?

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

Q: of a matrix is the factorization of a given square matrix into two triangular matrices.

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Q: -31 A: 2 -1 .

A: We have to solve given problem:

Q: matrices

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Q: Explain Column matrix along with an example.

A: A column matrix is a list of elements which is written in a column. It can also be called as a…

Q: Define the term matrix equation.

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

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Q: . What is the Matrix . What is the order of Matrix . What is the type of Matrices

A: Hello. Since your question has multiple parts, we will solve first three parts for you. If you want…

Q: Significance of matrix ?

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Q: given example matrix vector multiplication 4*4(point wise)

A: Matrix multiplication is defined using row multiplied by column.

Q: Define the matrix square root?

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Q: 9. When can a square matrix be diagonalized? When can a square matrix be diagonalized orthogonally?

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Q: A row matrix and a column matrix are also called  ______________ .

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Q: Explain Diagonal matrix along with an example.

A: Diagonal Matrix:

Q: Explain the concept of Numerical & Boolean Adjacency Matrices in details?

A: The concept of Boolean Adjacency Matrices The adjacency matrix of a simple labeled graph is a matrix…

Q: A diagonal matrix is a square matrix that if rotated to give the original matrix 1- right 2-Error

A: a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term…

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: What type of matrix is a linear combination of scalar ma- trices? Justify your answer.

A: Consider n scalar matrices with each matrix in k×k order: A1, A2, A3, ⋯, An Also, let b1, b2, b3, ⋯,…

Q: What is Rank? Please describe. mxn The largest rank of a dimensional matrix can take what would be…

A: We have to define the rank of the matrix. Definition of rank:- The maximum number of its linearly…

Q: True or False The identity matrix has properties similar tothose of the real number 1.

A: We have to say that the given statement is true or false: The identity matrix has properties similar…

Q: What is the term matrices

A: Matrices :- A matrix is an ordered rectangular array of numbers or functions. The numbers or…

Q: True or false: Two columns of a matrix may be interchanged to form an equivalent matrix.

A: Known fact: Any elementary row transformation of matrix produces an equivalent matrix.

Q: L- matrix and U

A: The objective of the question is determine the L- and U- matrix.

Q: Define laws of Matrix Algebra?

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Q: Explain identity matrix along with an example.

A: Identity matrix is a matrix in which all the diagonal elements are 1’s and rest are 0’s.

Q: Explain the term Comparable matrices?

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

Q: What is inverse matrix? What is adjoin, cifactor and miror? Please give me Clearly, readable…

A: Definition of an Inverse of a Matrix : Assuming that we have a square matrix A, which is…

Q: What is a row matrix?

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

Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

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Q: What are the Symmetric Matrices?

A: we know that if transpose of a matrix is equal to itself, then that matrix is said to be symmetric…

Q: ace of tme matrix

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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: Illustrate Unit matrix OR Identity matrix?

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Q: Find LU factorization of the matrix A =

A: In this question, we apply Gauss's elimination method to find the A=LU form. A is given by…

Q: What is a column matrix?

A: Definition of column matrix – A vector which is represented with a list of number is called a column…

Q: State Symmetric Matrices ?

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Q: Find the rank of the matrix

A: Given, The matrix  2131-1  2316  We have to find the rank of matrix.

Q: (2 -1 5, -2 2,

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