Newbetuts

For a bounded linear operator T, if $||Tx_o||<\epsilon$, then what can we say the norm of $Tx$ for $x \in$ the epsilon ball around $x_o$

Density of a linear transformation of an inverse gaussian variable

Set sum of graphs of linear maps is a graph only if the maps are same

Nullity of T vs. nullity of $T^2$

What is the dimension of $\{X\in M_{n,n}(F); AX=XA=0\}$?

Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

How to find matrix $K$ such that $KM=0$ with $M$ full-rank? [closed]

Inverse of Linear Transformations

Prove that $\dim(U) - \dim (V) + \dim(W) - \dim(X) = 0$

Double dual mappings

Show that an open linear map between normed spaces is surjective.

Reflect a point without matrix math

Why doesn't the definition of dependence require that one can expresses each vector in terms of the others?

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.

If $0$ is the only eigenvalue of a linear operator, is the operator nilpotent

Let $S:U\rightarrow V, \ T:V\rightarrow W$ and if $S$ and $T$ are both injective/surjective, is $T\circ S$ injective/surjective?

New posts in linear-transformations

What is the mechanism of Eigenvector? [closed]

What is an intuitive way to understand the dot product in the context of matrix multiplication?

Checking if this transformation $L: R^3 \to P_4$ exists?

The set of all linear maps T:V->W is a vector space

For a bounded linear operator T, if $||Tx_o||<\epsilon$, then what can we say the norm of $Tx$ for $x \in$ the epsilon ball around $x_o$

Density of a linear transformation of an inverse gaussian variable

Set sum of graphs of linear maps is a graph only if the maps are same

Nullity of T vs. nullity of $T^2$

What is the dimension of $\{X\in M_{n,n}(F); AX=XA=0\}$?

Simple proof that if $A^n=I$ then $\mathrm{tr}(A^{-1})=\overline{\mathrm{tr}(A)}$

How to find matrix $K$ such that $KM=0$ with $M$ full-rank? [closed]

Inverse of Linear Transformations

Prove that $\dim(U) - \dim (V) + \dim(W) - \dim(X) = 0$

Double dual mappings

Show that an open linear map between normed spaces is surjective.

Reflect a point without matrix math

Why doesn't the definition of dependence require that one can expresses each vector in terms of the others?

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.

If $0$ is the only eigenvalue of a linear operator, is the operator nilpotent

Let $S:U\rightarrow V, \ T:V\rightarrow W$ and if $S$ and $T$ are both injective/surjective, is $T\circ S$ injective/surjective?