Is scalar $0$ times a vector $0$ again a scalar zero?
120475
Vector spaces - Multiplying by zero scalar yields zero vector
105014
Is the zero vector in $\mathbb{R}^n$ by itself a subspace of $\mathbb{R}^n$?
96554
Why is $x^0 = 1$ except when $x = 0$?
4443
Why is the determinant zero iff the column vectors are linearly dependent?
57969
Prove that $0$ is not an essential singularity (UW Madison Qualifying exam)
26989
Show that C[0,1] is a vector space
157269
If $\alpha_{1},\ldots,\alpha_{m}$ are vectors different from zero vector, then there is a linear functional $f$ such that $f(\alpha_{i})\neq 0$
153107
Does every connected component of $\{z : |P(z)|<1 \}$ contain a zero?
156985
Question Concerning Vectors
72660
How can I show that $f$ must be zero if $\int fg$ is always zero?
30720
If the dot product between two vectors is $0$, are the two linearly independent?
14150
Zero to the zero power – is $0^0=1$?
75002
show that $\det(A)=0$ in this case
117777
What are the zero divisors of $C[0,1]$?
73677
If the matrix $A^3 = 0$, is $A$ singular?
51483
Prove: If a linear map, $φ: U→V$ is bijective, then $φ(x)=0$ has only the solution $x=0$.
2762
Mapping of zero vector under a linear transformation