If we have a set of n linearly independent vectors in $R^n$, does that mean they span $R^n$?
72567
Does a set of $n$ independent vectors in $R^{n}$ always span $R^{n}$?
94405
Let $W$ be the set of all linear combinations of $v_1,...,v_n$. Then $W$ is a subspace of $V$.
34372
Are $10\times 10$ matrices spanned by powers of a single matrix?
30720
If the dot product between two vectors is $0$, are the two linearly independent?
121558
Showing that $n$ exponential functions are linearly independent.
66272
Is there a common notion of $\mathbb{R}^n$, for non-integer $n$?
37813
If $T\colon \mathbb R^n \to \mathbb R^n $ linear and $T^2 = kT$
6547
Given $3$-dimensional subspaces $V, W \subset \Bbb R^5$, there is a nonzero vector in $V \cap W$
76498
Does every linearly independent set of n vectors in $R^n$ forms a basis in $R^n$?
128093
Regarding the values that n and r can take in $\binom{n}{r}$
82474
Isometries of $\mathbb{R}^n$
105110
Why does $\sqrt{n\sqrt{n\sqrt{n \ldots}}} = n$?
110353
Is $\mathbb{R}^n$ a polyhedron?
43871
Is this subset linearly independent or linearly dependent?
42495
Determine if the following sets of vectors are linearly independent
75829
Dimension of open subsets of $R^n$
6291
Proving something is a linearly independent subset