prove that the Dimension for set of all linear mappings $L:V \to W$ is equal to $\dim V \times \dim W$
125184
Why $\dim(\hom(V,W))=\dim(V) * \dim(W)$?
45485
Dimension of a subset
59647
Vector spaces with fractional dimension
94405
Let $W$ be the set of all linear combinations of $v_1,...,v_n$. Then $W$ is a subspace of $V$.
46265
Minimal polynomial of the operator $T:V\oplus W\to V\oplus W$
112231
Showing that a one-to-one linear transformation maps a linearly independent set onto a linearly independent set
75829
Dimension of open subsets of $R^n$
18921
Linear Transformations: Proving 1 dimensional subspace goes to 1 dimensional
158170
vector space dimension of linear varieties
157109
Finding the Dimension of a Matrix Polynomial: $W$ = { $p(B)$ : $p$ is a polynomial with real coefficients}
2109
Max dimension of a subspace of singular $n\times n$ matrices
53261
Show that Pn is an (n+1)-dimensional subspace
50037
Proving that kernels of evaluation maps are generated by the $x_i - a_i$
15300
How to show that $(W^\bot)^\bot=W$ (in a finite dimensional vector space)
107520
Krull dimension of $\mathbb{C}[x_1, x_2, x_3, x_4]/\left$
59133
Show that an inverse of a bijective linear map is a linear map.
140212
Prove that there exists a unique linear map that extends the map from a basis