FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Rank of Incidence Matrix Formula

GoRank of Cutset Matrix Formula

GoRank for Incidence Matrix using Probability Formula

Fx Copy

LaTeX Copy

The Matrix Rank refers to the number of linearly independent rows or columns in the matrix. Check FAQs

ρ = N - 1

ρ - Matrix Rank?N - Nodes?

Rank of Incidence Matrix Example

With values

With units

Only example

Here is how the Rank of Incidence Matrix equation looks like with Values.

Here is how the Rank of Incidence Matrix equation looks like with Units.

Here is how the Rank of Incidence Matrix equation looks like.

5 = 6 - 1

5 = 6 - 1

5 = 6 - 1

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Electrical » Category

Circuit Graph Theory » fx Rank of Incidence Matrix

Rank of Incidence Matrix Solution

Follow our step by step solution on how to calculate Rank of Incidence Matrix?

FIRST Step Consider the formula

ρ = N - 1

Next Step Substitute values of Variables

∴

ρ = 6 - 1

Next Step Prepare to Evaluate

∴

ρ = 6 - 1

LAST Step Evaluate

∴

ρ = 5

Rank of Incidence Matrix Formula Elements

Variables

Matrix Rank

The Matrix Rank refers to the number of linearly independent rows or columns in the matrix.

Symbol: ρ

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Matrix Rank

Nodes

Nodes is defined as the junctions where two or more elements are connected.

Symbol: N

Measurement: NAUnit: Unitless

Note: Value should be greater than 1.

Formulas to find Nodes

Other Formulas to find Matrix Rank

Go Rank of Cutset Matrix

ρ = N - 1

Go Rank for Incidence Matrix using Probability

ρ = N - p

Other formulas in Circuit Graph Theory category

Go Number of Branches in Complete Graph

b c = \frac{N \cdot (N - 1)}{2}

Go Number of Links in any Graph

L = b - N + 1

Go Number of Maxterms and Minterms

N τ = 2^{n}

Go Number of Branches in any Graph

b = L + N - 1

How to Evaluate Rank of Incidence Matrix?

Rank of Incidence Matrix evaluator uses Matrix Rank = Nodes-1 to evaluate the Matrix Rank, 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. Matrix Rank is denoted by ρ symbol.

How to evaluate Rank of Incidence Matrix using this online evaluator? To use this online evaluator for Rank of Incidence Matrix, enter Nodes (N) and hit the calculate button.

FAQs on Rank of Incidence Matrix

What is the formula to find Rank of Incidence Matrix?

The formula of Rank of Incidence Matrix is expressed as Matrix Rank = Nodes-1. Here is an example- 5 = 6-1.

How to calculate Rank of Incidence Matrix?

With Nodes (N) we can find Rank of Incidence Matrix using the formula - Matrix Rank = Nodes-1.

What are the other ways to Calculate Matrix Rank?

Here are the different ways to Calculate Matrix Rank-

Matrix Rank=Nodes-1
Matrix Rank=Nodes-Node Connection Probability

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit