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identity matrix

American  

noun

Mathematics.

  1. a matrix that has 1 in each position on the main diagonal and 0 in all other positions.

Etymology

Origin of identity matrix

First recorded in 1940–45

Example Sentences

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TRY IT #3 Use the formula to find the inverse of matrix Verify your answer by augmenting with the identity matrix.

From Textbooks • Sep. 23, 2020

The identity matrix is a square matrix containing ones down the main diagonal and zeros everywhere else.

From Textbooks • Feb. 13, 2015

Instead, we will augment the original matrix with the identity matrix and use row operations to obtain the inverse.

From Textbooks • Feb. 13, 2015

TRY IT #2 Use the formula to find the inverse of matrix Verify your answer by augmenting with the identity matrix.

From Textbooks • Feb. 13, 2015

The identity matrix acts as a 1 in matrix algebra.

From Textbooks • Feb. 13, 2015

Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023

Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.