- #1
RedXIII
- 3
- 0
Homework Statement
Find all values of a for which the columns of the matrix are linearly dependent.
[tex]
\left( {\begin{array}{*{20}c}
2 & 0 & 8 \\
{ - 4} & 7 & a \\
1 & { - 3} & 4 \\
\end{array}} \right)
[/tex]
Homework Equations
The Attempt at a Solution
So I took of rref of the matrix and found
[tex]
\left( {\begin{array}{*{20}c}
1 & 0 & 4 \\
{ - 0} & 1 & 0 \\
0 & { 0} & a+16 \\
\end{array}} \right)
[/tex]
So then I have
a+16=0
a = -16
So that gives me 1 value which makes the columns of the matrix linearly dependent, but how do I find the other ones, or even know if more exist?
Thanks