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What is an adjacency matrix?
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
Write adjacency and incidence matrix for all the graphs developed?
adjacency matrix- since the edges are the relationship between two vertices ,the graph can be represented by a matrix,
What is the definition of a symmetric matrix?
Symmetric Matrix:Given a square matrix A such that A'=A, where A' is the transpose of A, then A is a symmetric matrix.note: No need to think about diagonal elements, they can be anything.
Is null square matrix a skew symmetric?
yes, it is both symmetric as well as skew symmetric
An adjacency matrix representation of a graph cannot contain information of?
parallel edges
Find directed graph that has the adjacency matrix?
Find directed graph that has the adjacency matrix Find directed graph that has the adjacency matrix
What is an adjacency matrix?
An adjacency matrix is a matrix showing which vertices of a graph are adjacent to which other vertices.
Write adjacency and incidence matrix for all the graphs developed?
adjacency matrix- since the edges are the relationship between two vertices ,the graph can be represented by a matrix,
Prove that a matrix which is both symmetric as well as skew symmetric is a null matrix?
Let A be a matrix which is both symmetric and skew symmetric. so AT=A and AT= -A so A =- A that implies 2A =zero matrix that implies A is a zero matrix
What is a skew symmetric matrix?
A skew symmetric matrix is a square matrix which satisfy, Aij=-Aji or A=-At
What is the definition of a symmetric matrix?
Symmetric Matrix:Given a square matrix A such that A'=A, where A' is the transpose of A, then A is a symmetric matrix.note: No need to think about diagonal elements, they can be anything.
What is the eigen value of a real symmetric matrix?
The eigen values of a real symmetric matrix are all real.
What is a symmetric matrix?
a square matrix that is equal to its transpose
Is null square matrix a skew symmetric?
yes, it is both symmetric as well as skew symmetric
An adjacency matrix representation of a graph cannot contain information of?
parallel edges
What is the definition of a matrix?
Symmetric Matrix:Given a square matrix A such that A'=A, where A' is the transpose of A, then A is a symmetric matrix.note: No need to think about diagonal elements, they can be anything.
what is the definition of The Matrix?
Symmetric Matrix:Given a square matrix A such that A'=A, where A' is the transpose of A, then A is a symmetric matrix.note: No need to think about diagonal elements, they can be anything.
