Chapter 2.4, Problem 4P

Explanation of Solution

Determining the dependency of the given sets of vectors:

Consider the given sets of vectors,

$V=\{[20],[30]\}$

A matrix A is formed as given below; whose rows are the above given vectors:

$A=\left[\begin{array}{l}20\\ 30\end{array}\right]$

The Gauss-Jordan method is applied to find the dependency of the above given sets of vectors.

Replace row 1 by ($\frac{1}{2}\left(row1\right)$), then the following matrix is obtained,

$[\begin{array}{l}1\mathrm{}\end{array}$