Rank of Incidence Matrix Calculator

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✖Number of Nodes is defined as the junctions where two or more elements are connected.ⓘ Number of Nodes [N]

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✖The rank of matrix refers to the number of linearly independent rows or columns in the matrix.ⓘ Rank of Incidence Matrix [ρ]

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Rank of Incidence Matrix Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rank of matrix = Number of Nodes-1
ρ = N-1
This formula uses 2 Variables

Variables Used

Rank of matrix - The rank of matrix refers to the number of linearly independent rows or columns in the matrix.
Number of Nodes - Number of Nodes is defined as the junctions where two or more elements are connected.

STEP 1: Convert Input(s) to Base Unit

Number of Nodes: 4 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = N-1 --> 4-1

Evaluating ... ...

ρ = 3

STEP 3: Convert Result to Output's Unit

3 --> No Conversion Required

FINAL ANSWER

3 <-- Rank of matrix

(Calculation completed in 00.000 seconds)

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Credits

Created by swetha samavedam

Delhi Technological University (DTU), delhi

swetha samavedam has created this Calculator and 10+ more calculators!

Verified by Pinna Murali Krishna

Lovely professional university (LPU), Phagwara,Punjab

Pinna Murali Krishna has verified this Calculator and 7 more calculators!

< 7 Circuit Graph Theory Calculators

Number of Edges in complete Graph

Number of edges = (Number of Nodes*(Number of Nodes-1))/2 Go

Number of Branches of any Graph

Number of edges = Links+Number of Nodes-1 Go

Number of Links of any Graph

Links = Number of edges-Number of Nodes+1 Go

Number of nodes of any Graph

Number of Nodes = Number of edges-Links+1 Go

Number of Maxterms and Minterms

Total Minterms/ Maxterms = (2^Number of input variables) Go

Rank of Incidence Matrix

Rank of matrix = Number of Nodes-1 Go

Rank of Cutset Matrix

Rank of matrix = Number of Nodes-1 Go

Rank of Incidence Matrix Formula

Rank of matrix = Number of Nodes-1
ρ = N-1

Define Incidence matrix

Incidence matrix is that matrix which represents the graph such that with the help of that matrix we can draw a graph. If from a given incidence matrix [AC], any arbitrary row is deleted, then the new matrix formed will be reduced incidence matrix.

How to Calculate Rank of Incidence Matrix?

Rank of Incidence Matrix calculator uses Rank of matrix = Number of Nodes-1 to calculate the Rank of matrix, The rank of incidence matrix is (n-1), where n is the number of nodes of the graph. The order of incidence matrix is (n × b), where b is the number of branches of graph. Rank of matrix is denoted by ρ symbol.

How to calculate Rank of Incidence Matrix using this online calculator? To use this online calculator for Rank of Incidence Matrix, enter Number of Nodes (N) and hit the calculate button. Here is how the Rank of Incidence Matrix calculation can be explained with given input values -> 3 = 4-1.

FAQ

What is Rank of Incidence Matrix?

The rank of incidence matrix is (n-1), where n is the number of nodes of the graph. The order of incidence matrix is (n × b), where b is the number of branches of graph and is represented as ρ = N-1 or Rank of matrix = Number of Nodes-1. Number of Nodes is defined as the junctions where two or more elements are connected.

How to calculate Rank of Incidence Matrix?

The rank of incidence matrix is (n-1), where n is the number of nodes of the graph. The order of incidence matrix is (n × b), where b is the number of branches of graph is calculated using Rank of matrix = Number of Nodes-1. To calculate Rank of Incidence Matrix, you need Number of Nodes (N). With our tool, you need to enter the respective value for Number of Nodes and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Rank of matrix?

In this formula, Rank of matrix uses Number of Nodes. We can use 1 other way(s) to calculate the same, which is/are as follows -

Rank of matrix = Number of Nodes-1

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