Suppose $\displaystyle S= \{v_{1}, v_{2}, ... v_{n}\}$ is a basis for vector space V, and $\displaystyle T= \{w_{1}, w_{2}, ... w_{m}\}$ is a subset of V, where m > n. Show that T is linearly dependent.
Suppose $\displaystyle S= \{v_{1}, v_{2}, ... v_{n}\}$ is a basis for vector space V, and $\displaystyle T= \{w_{1}, w_{2}, ... w_{m}\}$ is a subset of V, where m > n. Show that T is linearly dependent.