Let A be the (3 × 3) matrix
A=\left[\begin{array}{lll}0 & 1 & 3 \\1 & 2 & 1 \\3 & 4 & 2\end{array}\right].
Display elementary matrices E_{1}, E_{2}, \text { and } E_{3} such that A E_{1} E_{2} E_{3}=L, where L is lower triangular.
Let A be the (3 × 3) matrix
A=\left[\begin{array}{lll}0 & 1 & 3 \\1 & 2 & 1 \\3 & 4 & 2\end{array}\right].
Display elementary matrices E_{1}, E_{2}, \text { and } E_{3} such that A E_{1} E_{2} E_{3}=L, where L is lower triangular.