The **rank** of a matrix $A$, denoted $\mathrm{rk}(A)$, is the number of nonzero rows of its row canonical form

System of Linear Equations

System of Linear Equations

Compatibility and Determination

Compatibility and Determination

Equivalent Systems

Associated Matrix of a System

Elementary Operations

Elementary Operations

Equivalent Matrices

Echelon Form

Gaussian Elimination

Gaussian Elimination - Step by Step

Row Canonical Form

General Resolution of Systems

Rank

Rouché-Capelli Theorem

Linear System - 1

The **rank** of a matrix $A$, denoted $\mathrm{rk}(A)$, is the number of nonzero rows of its row canonical form