Letβs learn the different types of matrices
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Column matrices
A column matrix only has 1 column
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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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