2006-62.md

course	course_year	question_number	tags	title	year
Numerical Analysis	IB	62	IB 2006 Numerical Analysis	1.I.6D	2006

(a) Perform the LU-factorization with column pivoting of the matrix

$$A=\left[\begin{array}{rrr} 2 & 1 & 1 \\ 4 & 1 & 0 \\ -2 & 2 & 1 \end{array}\right]$$

(b) Explain briefly why every nonsingular matrix $A$ admits an LU-factorization with column pivoting.