basis

Let ℝ and ℝ³ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of α for which the set of vectors {[2 -3 α], [3 -1 3], [1 -5 7]}...

Let $\mathbb{R}$ and $\mathbb{R}^3$ denote the set of real numbers and the three dimensional vector space over it, respectively. The value of $\alpha$ for which the set of vectors...

If $\mathbf{v}_{\mathbf{1}}, \mathbf{v}_{\mathbf{2}} \ldots \mathbf{v}_{\mathbf{6}}$ are six vectors in $\mathbb{R}^4$, which one of the statements is FALSE?