![](Linear%20Algebra%20and%20Matrix%20Theory%20(index).md#^fc2a1f) ![](Linear%20Algebra%20and%20Matrix%20Theory%20(index).md#^c93b25) # Square matrices ^34a807 A square matrix is also referred to as an _$n \times n$ matrix._ ## Types of square matrices The following diagram maps out how we categorize every type of square matrix we encounter - including [zero matrices](Matrices.md#Zero%20matrices) as indicated by "O" and the [identity matrix](Matrices.md#Identity%20matrices) labeled with "I." ![](Pasted%20image%2020210207195224.png) Image adapted from Bernstein D. S. _Matrix Mathematics_ ### Identity matrices ### Zero matrices # Matrices as linear operators [linear operator](linear%20operator) ### Index of all other square matrix types * [Normal Matrices](Normal%20operators.md#Normal%20Matrices) * [Hermitian Matrices](Hermitian%20operators.md) * [Unitary Matrices](Unitary%20operators.md#Unitary%20matrices) * [Projections](Projection.md#Projection%20operators) * [Positive semidefinite matrix](Positive%20semidefinite%20operators.md) #MathematicalFoundations/Algebra/AbstractAlgebra/LinearAlgebra/Operators/Matrices