Consider the following matrix, which is in reduced echelon form. [ 0 1 0 0 0 1 Show that the row vectors form a linearly independent set. Is the set of nonzero row vectors of any matrix in reduced echelon form linearly independent? Discuss.

HIGHER-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS IV: Laplace Transform Method David Levermore Department of Mathematics University of Maryland 14 April 2012 Because the presentation of this material in lecture will diﬀer from that in the book, I felt that notes that closely follow the lecture presentation might be appreciated. 8. Laplace Transform Method 8.1. Deﬁnition of the Transform 2 8.2. Properties of the Transform 3 8.3. Existence and Diﬀerentiability 6 8.4. Transfo