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Let’s learn the different types of matrices

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Column matrices

A column matrix only has 1 column

Example Β 

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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

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Row matrices

A row matrix only has 1 row

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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

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Square matrix

A square matrix has equal number of rows & columns

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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

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Diagonal matrix

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

A diagonal matrix is possible only in a square matrix

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Example

Types of matrices - Part 5

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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

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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

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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

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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)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.