Question

A positive definite symmetric matrix A can be decomposed into form A=LL^T this decomposition is called ________

(a) Cholesky

(b) Rayleighs

(c) Galerkins

(d) Potential energy

I have been asked this question in final exam.

Question is taken from Matrix Algebra in portion Matrix Algebra and Gaussian Elimination of Finite Element Method

Answer 1

Correct option is (a) Cholesky

The best explanation: L is the lower triangular matrix, and its transpose L^T  is upper triangular matrix. This is called Cholesky decomposition. It is a decomposition of a positive definite matrix into a product of lower triangular matrix and its conjugate transpose.