Types of matrices
In this page types of matrices we are going to see different types of matrix with detailed examples.
Row matrix
A matrix which is having only one row is called row matrix.
Examples:
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The order of first row matrix is 1 x 4
The order of second row matrix is 1 x 3
Column matrix
A matrix which is having only one column is called column matrix.
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The order of the above column matrix is 3 x 1
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The order of the above column matrix is 2 x 1
Square matrix
A square matrix is a matrix in which the number of rows and the number of columns are equal. A matrix of order n x n is also known as a square matrix of order n.
In a square matrix A of the order n x n the elements a11,a22,a33........ann is called principal diagonal or leading diagonal or main diagonal elements.
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The order of the above square matrix is 3 x 3.
Diagonal matrix
In a diagonal matrix all the entries except the entries along the main diagonal are zero.
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Triangular matrix
A square matrix is known as a lower triangular matrix if all elements above main diagonal are zero .
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A square matrix is known as a upper triangular matrix if all elements below main diagonal are zero .
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Scalar matrix
A square matrix is known as a scalar matrix if all the entries along the main diagonal are equal.
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Identity (or) scalar matrix
When all the entries along the main diagonal are equal to 1 is known as identity matrix or unit matrix. Usually identity matrix is denoted by I₂ if the order of that particular matrix is 2 x 2 and it is denoted by I₃ if the order of that particular matrix is 3 x 3.
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Zero matrix (or) null matrix (or) void matrix
In a matrix if all the entries are zero then it is called zero matrix.
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Equality of matrices
Two matrices A and B are known as equality of matrices if both matrices is having same order. These are the types of matrices.
Transpose of matrix
A matrix formed by interchanging rows as columns and columns as rows is called as transpose of a matrix. The transpose of matrix A is usually denoted by A^T
