Making Linearly Independent Set into Basis
100095
Proving replacement theorem?
125115
Simplifying Large Bases with large Exponents
134999
Writing empty set as union of basis elements for a topology.
116908
Basis for set of nxn matrices with trace = 0
107122
Compute $ad_X$, $ad_Y$, and $ad_Z$ relative to a basis
94077
Proof of linear independence of $e^{at}$
138343
How to prove that the set $\{\sin(x),\sin(2x),...,\sin(mx)\}$ is linearly independent?
48113
Find a basis for the vector space of symmetric matrices with an order of $n \times n$
6793
A linearly independent set about approximate units
143149
Can linearly independent vectors have linearly dependent images?
120610
Find a subset of $S = \{(1, 0, i), (i, 2, -3), (2-i, 1+i, i)\}$ that forms a basis for $\textsf V = \operatorname{span}(S)$
96354
Linear independence of $\sin(x)$, $\sin(2x)$, $\sin(3x)$ in Map($\mathbb{R},\mathbb{R}$)
30720
If the dot product between two vectors is $0$, are the two linearly independent?
152147
Why is a set of orthonormal vectors linearly independent?
15811
Finding a basis for a certain vector space of periodic polynomials
95771
Rows linearly independent implies columns linearly independent
120766
Prove ${y_n}$ is a basis for a Hilbert space $H$.