List questions from linear-transformations

Published on 20 Jun 2019 - 17:40

132

Views

Determine $f(v)$ and $f(w)$ in the coordinate represention in $\mathbb{R}^3$ and the mapping matrix $M^{E_4}_{E_3}(f)$

Published on 27 Mar 2026 - 9:48

87

Views

Finding eigenvalues without doing calculations

Published on 07 Apr 2026 - 3:22

324

Views

Linear transformation of a subspace (plane equation)

Published on 25 Mar 2026 - 15:46

62

Views

Is it possible for $A^T\vec{b} \bullet \vec{a} = A\vec{b} \bullet \vec{a}$ without $A=A^T$?

Published on 29 Mar 2026 - 21:57

403

Views

Finding Linear Transformation Matrix $\mathbb{R}^2 \rightarrow\mathbb{R}^2$ and $\mathbb{R}^3 \rightarrow\mathbb{R}^2$

Published on 21 Jun 2019 - 3:23

47

Views

Find out if there is an unitary operator

Published on 21 Jun 2019 - 4:48

64

Views

Given a diagonalizable linear map, find a basis in which the matrix is strictly upper triangular

Published on 31 Mar 2026 - 14:23

408

Views

Proof that an short exact sequence splits if the vector spaces are finite dimensional

Published on 26 Mar 2026 - 4:51

101

Views

Rank-Nullity confusion

Published on 21 Jun 2019 - 13:37

1.6k

Views

What is the intuitive meaning of pivot entries in RREF?

Published on 25 Mar 2026 - 14:34

45

Views

One-to-one and onto linear transformations

Published on 21 Jun 2019 - 19:32

1.4k

Views

If Matrix A, B are similar,Find the invertible matrix P such that $B=PAP^{-1}$

Published on 23 Feb 2026 - 6:24

58

Views

Exact sequences and direct sums of subspaces proof

Published on 26 Mar 2026 - 4:51

445

Views

Can I use dimension to prove that vector spaces are isomorphic?

Published on 23 Jun 2019 - 7:14

List Question

Linear Transformations - question

Determine $f(v)$ and $f(w)$ in the coordinate represention in $\mathbb{R}^3$ and the mapping matrix $M^{E_4}_{E_3}(f)$

Finding eigenvalues without doing calculations

Linear transformation of a subspace (plane equation)

Is it possible for $A^T\vec{b} \bullet \vec{a} = A\vec{b} \bullet \vec{a}$ without $A=A^T$?

Finding Linear Transformation Matrix $\mathbb{R}^2 \rightarrow\mathbb{R}^2$ and $\mathbb{R}^3 \rightarrow\mathbb{R}^2$

Find out if there is an unitary operator

Given a diagonalizable linear map, find a basis in which the matrix is strictly upper triangular

Proof that an short exact sequence splits if the vector spaces are finite dimensional

Rank-Nullity confusion

What is the intuitive meaning of pivot entries in RREF?

One-to-one and onto linear transformations

If Matrix A, B are similar,Find the invertible matrix P such that $B=PAP^{-1}$

Exact sequences and direct sums of subspaces proof

Can I use dimension to prove that vector spaces are isomorphic?

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