identity matrix Antonyms

No Synonyms and anytonyms found

Meaning of identity matrix

Wordnet

identity matrix (n)

a scalar matrix in which all of the diagonal elements are unity

identity matrix Sentence Examples

1. An identity matrix, often denoted as I, is a square matrix with ones on the main diagonal and zeros elsewhere.
2. In linear algebra, the identity matrix serves as the multiplicative identity for matrices, much like the number 1 in ordinary arithmetic.
3. The identity matrix of size n, denoted as In, has dimensions n x n.
4. For example, the 2x2 identity matrix is [[1, 0], [0, 1]].
5. Multiplying any matrix by the identity matrix yields the original matrix, akin to multiplying a number by 1.
6. The identity matrix is a crucial concept in matrix algebra and various mathematical applications.
7. In computer graphics, the identity matrix is often used to represent transformations that do not alter the position or orientation of objects.
8. The identity matrix plays a fundamental role in the theory of linear transformations and their properties.
9. The identity matrix is symmetric, with ones on the main diagonal and zeros elsewhere.
10. In many mathematical computations and proofs, the identity matrix serves as a foundational tool.

FAQs About the word identity matrix

What is the meaning of the word identity matrix

a scalar matrix in which all of the diagonal elements are unity

What are the synonyms of the word identity matrix

No synonyms found.

What are the antonyms of the word identity matrix

No antonyms found.

What is the usage of word identity matrix

An identity matrix, often denoted as I, is a square matrix with ones on the main diagonal and zeros elsewhere.

In linear algebra, the identity matrix serves as the multiplicative identity for matrices, much like the number 1 in ordinary arithmetic.

How to use the word identity matrix in a sentence?

The identity matrix of size n, denoted as In, has dimensions n x n.

For example, the 2x2 identity matrix is [[1, 0], [0, 1]].