Types of matrices

Chapter 3 Class 12 Matrices
Concept wise

Letβs learn the different types of matrices

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## Column matrices

A column matrix only has 1 column

Example Β

Example

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

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

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

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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

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

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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

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