Rank of Cutset 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 Matrix Rank refers to the number of linearly independent rows or columns in the matrix.ⓘ Rank of Cutset Matrix [ρ]

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Formula

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Rank of Cutset Matrix

Formula

`"ρ" = "N"-1`

Example

`"3"="4"-1`

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Rank of Cutset Matrix Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Matrix Rank - The Matrix Rank 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 <-- Matrix Rank

(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!

< 12 Circuit Graph Theory Calculators

Average Path Length between Connected Nodes

Go Average Path Length = ln(Number of Nodes)/ln(Average Degree)

Maximum Number of Independent KVE for Electrical Graph

Go Number of Independent KVE = Number of Edges-Number of Nodes+Probability

Number of Edges in Complete Graph

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

Average Degree

Go Average Degree = Probability*Number of Nodes

Rank for Incidence Matrix using Probability

Go Matrix Rank = Number of Nodes-Probability

Number of Branches in any Graph

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

Number of Links in any Graph

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

Number of Nodes in any Graph

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

Number of Linearly Independent Rows in Fundamental Cutset Matrix

Go Total Rows = Number of Nodes-Probability

Number of Maxterms and Minterms

Go Total Minterms/ Maxterms = (2^Number of Input Variables)

Rank of Incidence Matrix

Go Matrix Rank = Number of Nodes-1

Rank of Cutset Matrix

Go Matrix Rank = Number of Nodes-1

Rank of Cutset Matrix Formula

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

Understanding fundamental cutset matrix

Fundamental cut set or f-cut set is the minimum number of branches that are removed from a graph in such a way that the original graph will become two isolated subgraphs. The f-cut set contains only one twig and one or more links. So, the number of f-cut sets will be equal to the number of twigs. It is represented with letter C

How to Calculate Rank of Cutset Matrix?

Rank of Cutset Matrix calculator uses Matrix Rank = Number of Nodes-1 to calculate the Matrix Rank, The Rank of Cutset matrix formula gives the rank of cutset matrix. Matrix Rank is denoted by ρ symbol.

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

FAQ

What is Rank of Cutset Matrix?

The Rank of Cutset matrix formula gives the rank of cutset matrix and is represented as ρ = N-1 or Matrix Rank = Number of Nodes-1. Number of Nodes is defined as the junctions where two or more elements are connected.

How to calculate Rank of Cutset Matrix?

The Rank of Cutset matrix formula gives the rank of cutset matrix is calculated using Matrix Rank = Number of Nodes-1. To calculate Rank of Cutset 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 Matrix Rank?

In this formula, Matrix Rank uses Number of Nodes. We can use 2 other way(s) to calculate the same, which is/are as follows -

Matrix Rank = Number of Nodes-1
Matrix Rank = Number of Nodes-Probability

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