What are the conditions for one-one and onto of a given liner transformation?
24657
Let $T,S$ be linear transformations, $T:\mathbb R^4 \rightarrow \mathbb R^4$, such that $T^3+3T^2=4I, S=T^4+3T^3-4I$. Comment on S.
65414
One-one analytic functions on unit disc
110142
1-1 Function Composition
11798
If $f \circ g$ is onto then $f$ is onto and if $f \circ g$ is one-to-one then $g$ is one-to-one
149605
Homeomorphism from $[0,1]\times[0,1]$ to $\overline{D}(0,1)$?
20856
Inverse of Linear Transformations
126698
measurability of a function -equivalent conditions
63171
Translate of an ideal by $a$ coincides with the ideal iff  $a \in I$
151752
Example of a linear operator on some vector space with more than one right inverse.
158343
how to prove an element is non-zero in a tensor-product
145447
bilinear form - proof
64786
How can I linearize the IFF-THEN constraint with binary and continuous variable?
70266
1-1 correspondence between [0,1] and [0,1)
84890
Extremising a functional with conditions
76790
Condition to guarantee $f=0$ on $[a,b]$
155884
What are the conditions on $\text{tr}(AB) \leq \text{tr(A)} \text{tr(B)}$ to be true?
154837
mapping properties of $(1−z)^i$