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Exercise 1.4.14

Avg difficulty 3.0

Determine which matrices are in echelon form.

(a) [112000320000](b) [100217](c) [010050010400013](a)~{}\left[\begin{array}{rrrr}1&1&2&0\\ 0&0&3&2\\ 0&0&0&0\end{array}\right]\quad(b)~{}\left[\begin{array}{rrr}1&0&0\\ 2&1&7\end{array}\right]\quad(c)~{}\left[\begin{array}{rrrrrr}0&1&0&0&5\\ 0&0&1&0&4\\ 0&0&0&1&3\end{array}\right]

Selinger, Matrix Theory and Linear Algebra, Systems of linear equations, Gaussian elimination, Exercise 1.4.14

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Adapted from Matrix Theory and Linear Algebra © 2017–2026 Peter Selinger, Lyryx Learning, and Ken Kuttler. Licensed under CC BY 4.0. Source: Matrix Theory and Linear Algebra. Imported at revision d74bc3a.