Check sibling questions

Let’s learn the different types of matrices

Β 

Column matrices

A column matrix only has 1 column

Example Β 

23.jpg

Example

Types of matrices - Part 2

So, column matrix is of the order m Γ— 1

We write it as

Β  A = [a ij ] m Γ— 1

Β 

Row matrices

A row matrix only has 1 row

Β 

Example

Types of matrices - Part 3

So, row matrix is of the order 1 Γ— n

We write it as

Β  A = [a ij ] 1 Γ— n

Β 

Square matrix

A square matrix has equal number of rows & columns

Β 

Example

Types of matrices - Part 4

So, a square matrix is of the order m Γ— m

We write it as

Β  A = [a ij ] m Γ— m

Β 

Diagonal matrix

In A diagonal matrix, the non-diagonal of element are zero.

A diagonal matrix is possible only in a square matrix

Β 

Example

Types of matrices - Part 5

Β 

So, in a diagonal matrix

  • It is should be a square matrix
  • Non-diagonal elements are 0

Scalar matrix

A scalar matrix is a diagonal matrix where diagonal elements are equal

Β 

Example

Types of matrices - Part 6

So, in a scalar matrix

  • It is a square matrix
  • Non diagonal elements are 0
  • Diagonal elements are equal

Identity matrix

An identity matrix is a diagonal matrix where all diagonal elements are 1

Types of matrices - Part 7

Β 

So, in a Identity matrix

  • It is a square matrix
  • Non diagonal elements are 0
  • All diagonal elements are 1

Note : An identity matrix is a scalar matrix

Β 


Transcript

[β– 8(5@9@3@𝑦@tan^(βˆ’1)⁑π‘₯ )]_(5 Γ— 1) [β– 8(3@9@5)]_(3 Γ— 1) [β– 8(5@2@9@8)]_(4 Γ— 1) [β– 8(3&2@1&4)]_(2 Γ—2) [β– 8(9&5&2@1&8&5@3&1&6)]_(3 Γ— 3) [β– 8(π‘₯&𝑦&𝑧&1@π‘Ž&𝑏&𝑐&1@𝑝&π‘ž&π‘Ÿ&1@π‘š&𝑛&π‘œ&1)]_(4 Γ—4) Example Diagonal Elements Diagonal Elements [β– 8(βˆ’1&0&0@0&2&0@0&0&3)]_(3 Γ— 3) Diagonal Element [4]_(1 Γ—1) [β– 8(βˆ’1&0@0&βˆ’1)]_(2 Γ—2) [β– 8(3&0&0@0&3&0@0&0&3)]_(3 Γ— 3) [4]_(1 Γ— 1) I = [1]_(1 Γ— 1) I =[β– 8(1&0@0&1)]_(2 Γ—2) I =[β– 8(1&0&0@0&1&0@0&0&1)]_(3 Γ— 3)

Davneet Singh's photo - Teacher, Engineer, Marketer

Made by

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.