identity matrix

American  

noun

Mathematics.

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

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Etymology

Origin of identity matrix

First recorded in 1940–45

Example Sentences

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

Since we know that the product of a matrix and its inverse is the identity matrix, we can find the inverse of a matrix by setting up an equation using matrix multiplication.

From Textbooks • Sep. 23, 2020

The identity matrix acts as a 1 in matrix algebra.

From Textbooks • Feb. 13, 2015

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