List questions from vector-spaces

Published on 14 Mar 2018 - 6:21

124

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Linear Transformation satisfying polynomial

Published on 14 Mar 2018 - 13:38

244

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Is $V$ infinite-dimensional?

Published on 14 Mar 2018 - 14:10

78

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Does each distinct eigenvalue of a matrix correspond to a unique eigenspace?

Published on 14 Mar 2018 - 20:53

28

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Assume $B=\{b_1,...,b_n\}$ is a basis of some vector space $V$ and let $C,D$ be other bases of $V$. $[b_i]_C=[b_i]_D \forall i \rightarrow C=D$?

Published on 14 Mar 2018 - 23:08

38

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Proving either $T(v)=0$ or $T(x)=v$ has a solution for every $v$ in $V$?

Published on 14 Mar 2018 - 23:36

943

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Verify that the following is an isomorphism $T$:$P_1$ → $R^2; T[p(x)]=[p(0),p(1)]$

Published on 15 Mar 2018 - 0:18

41

Views

Proof verification on invertible matrices

Published on 25 Mar 2026 - 20:41

2.7k

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Finding the basis for a subspace of all $3 \times 3$ matrices with zero trace

Published on 25 Mar 2026 - 7:51

76

Views

What is the largest possible for $\dim(V)$

Published on 15 Mar 2018 - 3:26

35

Views

Finding the bases for a vector space

Published on 15 Mar 2018 - 7:38

689

Views

How many ordered bases are there of the vector spaces $\mathbb{F}_3^2 $ and $\mathbb{F}_3^3$?

Published on 15 Mar 2018 - 14:51

26

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Are the vector subspaces equal?

Published on 15 Mar 2018 - 15:55

49

Views

Find a Base for the following verctor space

Published on 15 Mar 2018 - 21:55

640

Views

Find a basis for $W$ and identify $\dim(W)$.

Published on 15 Mar 2018 - 22:28

List Question

What does proving a subset is a subspace accomplish?

Linear Transformation satisfying polynomial

Is $V$ infinite-dimensional?

Does each distinct eigenvalue of a matrix correspond to a unique eigenspace?

Assume $B=\{b_1,...,b_n\}$ is a basis of some vector space $V$ and let $C,D$ be other bases of $V$. $[b_i]_C=[b_i]_D \forall i \rightarrow C=D$?

Proving either $T(v)=0$ or $T(x)=v$ has a solution for every $v$ in $V$?

Verify that the following is an isomorphism $T$:$P_1$ → $R^2; T[p(x)]=[p(0),p(1)]$

Proof verification on invertible matrices

Finding the basis for a subspace of all $3 \times 3$ matrices with zero trace

What is the largest possible for $\dim(V)$

Finding the bases for a vector space

How many ordered bases are there of the vector spaces $\mathbb{F}_3^2 $ and $\mathbb{F}_3^3$?

Are the vector subspaces equal?

Find a Base for the following verctor space

Find a basis for $W$ and identify $\dim(W)$.

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