Identity matrix is a square matrix whose diagonal elements are equal to one. Non-diagonal elements are zeros.

Identity matrix is fully determined by its order.

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Example:
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The interactive program below will generate identity matrix based on your specified size or order. This program is designed to confirm your basic understanding about identity matrix.

## Properties

The following are well known properties of identity matrix:

- Identity matrix plays role as multiplicative identity of a square matrix,
- The determinant of an identity matrix is one

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See also
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:
diagonal matrix
,
matrix inverse
,
matrix multiplication
,
generalized inverse

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