Homework Statement
1) Is S a subspace of R^n?
1.1) Given n=4 and a vector is in S if it is in the span of e1, e2 or in the span of e3, e4 where e1...e4 is the canonical basis of R^4
1.2) Given n=3 and S is a sphere of radius 1.
2) Let S be a subspace of R^10 with basis v1; v2; v3. Show that...
Homework Statement
Find all values of a for which the columns of the matrix are linearly dependent.
\left( {\begin{array}{*{20}c}
2 & 0 & 8 \\
{ - 4} & 7 & a \\
1 & { - 3} & 4 \\
\end{array}} \right)
Homework Equations
The Attempt at a Solution
So I took of...