unit matrix

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Definitions from WordNet

Noun unit matrix has 1 sense

identity matrix, unit matrix - a scalar matrix in which all of the diagonal elements are unity
--₁ is a kind of scalar matrix

Definitions from the Web

Unit Matrix

Description:

A Unit Matrix, also known as an Identity Matrix or a Identity Matrix, is a square matrix with ones on the main diagonal and zeros elsewhere. It is generally represented as "I".

Sense 1 (Mathematics):

A unit matrix is a special type of matrix where all the elements along the main diagonal are equal to 1 and the remaining elements are equal to 0.

Example sentence 1:

In linear algebra, the unit matrix serves as the multiplicative identity for matrices just like the number 1 is the multiplicative identity for real numbers.

Sense 2 (Physics):

A unit matrix represents a physical system that has only one element or unit in a particular context.

Example sentence 2:

In quantum mechanics, the unit matrix is used to represent the identity operator, which leaves a quantum state unchanged.

Sense 3 (Computer Science):

In computer science, a unit matrix is an essential tool used in graphics, transformations, and vector operations to identity points or vectors.

Example sentence 3:

The graphics processing unit uses a unit matrix to transform and project the 3D objects onto a 2D screen space.