DIAG matrix function

Description

DIAG(A) Creates a diagonal matrix. The matrix argument can be either a numeric square matrix or a vector.

If matrix A is a square matrix, the DIAG function creates a column vector with its elements e_r equal to the corresponding diagonal elements e_r,r of A.

If matrix A is a vector, the DIAG function creates a matrix with diagonal elements e_r,r that are the values e_r in the vector. All off-diagonal elements are zeros.

Examples

DIAG({1,9,8}) returns {1,0,0|0,9,0|0,0,8}

DIAG({1,9,8|1,2,7|6,8,3}) returns {1|2|3}

DIAG(DIAG({1,9,8|1,2,7|6,8,3})) returns {1,0,0|0,2,0|0,0,3}

Calculator

See also

• Matrices
• Matrix functions
• Mathematical functions

Recommended book

Matrix Algebra Useful for Statistics
Shayle R. Searle, Andre I. Khuri

Buy from Amazon

This book addresses matrix algebra that is useful in the statistical analysis of data as well as within statistics as a whole. The material is presented in an explanatory style rather than a formal theorem-proof format and is self-contained.